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Finding the Fourth Proportional to 541,409.40, 812,114.10 and 415,438.20

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Solution

The fourth proportional to 541,409.40, 812,114.10 and 415,438.20 is: 623,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,409.40 : 812,114.10 = 415,438.20 : x
  2. Step 2: Convert to fraction form
    541,409.40/812,114.10 = 415,438.20/x
  3. Step 3: Cross multiply
    541,409.40x = 812,114.10 × 415,438.20
  4. Step 4: Simplify right side
    541,409.40x = 337,383,219,898.62
  5. Step 5: Solve for x
    x = 337,383,219,898.62/541,409.40
  6. Step 6: Final answer
    x = 623,157.30

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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.