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Finding the Fourth Proportional to 648,126.80, 972,190.20 and 410,764.40

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Solution

The fourth proportional to 648,126.80, 972,190.20 and 410,764.40 is: 616,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,126.80 : 972,190.20 = 410,764.40 : x
  2. Step 2: Convert to fraction form
    648,126.80/972,190.20 = 410,764.40/x
  3. Step 3: Cross multiply
    648,126.80x = 972,190.20 × 410,764.40
  4. Step 4: Simplify right side
    648,126.80x = 399,341,124,188.88
  5. Step 5: Solve for x
    x = 399,341,124,188.88/648,126.80
  6. Step 6: Final answer
    x = 616,146.60

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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.