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Finding the Fourth Proportional to 564,132.20, 847,580.70 and 424,164.20

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Solution

The fourth proportional to 564,132.20, 847,580.70 and 424,164.20 is: 637,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,132.20 : 847,580.70 = 424,164.20 : x
  2. Step 2: Convert to fraction form
    564,132.20/847,580.70 = 424,164.20/x
  3. Step 3: Cross multiply
    564,132.20x = 847,580.70 × 424,164.20
  4. Step 4: Simplify right side
    564,132.20x = 359,513,389,550.94
  5. Step 5: Solve for x
    x = 359,513,389,550.94/564,132.20
  6. Step 6: Final answer
    x = 637,285.71

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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.