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Finding the Fourth Proportional to 541,415.40, 812,123.10 and 443,000.40

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Solution

The fourth proportional to 541,415.40, 812,123.10 and 443,000.40 is: 664,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,415.40 : 812,123.10 = 443,000.40 : x
  2. Step 2: Convert to fraction form
    541,415.40/812,123.10 = 443,000.40/x
  3. Step 3: Cross multiply
    541,415.40x = 812,123.10 × 443,000.40
  4. Step 4: Simplify right side
    541,415.40x = 359,770,858,149.24
  5. Step 5: Solve for x
    x = 359,770,858,149.24/541,415.40
  6. Step 6: Final answer
    x = 664,500.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.