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Finding the Fourth Proportional to 472,065.54, 707,411.43 and 291,766.02

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Solution

The fourth proportional to 472,065.54, 707,411.43 and 291,766.02 is: 437,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,065.54 : 707,411.43 = 291,766.02 : x
  2. Step 2: Convert to fraction form
    472,065.54/707,411.43 = 291,766.02/x
  3. Step 3: Cross multiply
    472,065.54x = 707,411.43 × 291,766.02
  4. Step 4: Simplify right side
    472,065.54x = 206,398,617,433.61
  5. Step 5: Solve for x
    x = 206,398,617,433.61/472,065.54
  6. Step 6: Final answer
    x = 437,224.50

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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.