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Finding the Fourth Proportional to 713,227.02, 984,354.22 and 441,382.47

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Solution

The fourth proportional to 713,227.02, 984,354.22 and 441,382.47 is: 609,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,227.02 : 984,354.22 = 441,382.47 : x
  2. Step 2: Convert to fraction form
    713,227.02/984,354.22 = 441,382.47/x
  3. Step 3: Cross multiply
    713,227.02x = 984,354.22 × 441,382.47
  4. Step 4: Simplify right side
    713,227.02x = 434,476,693,838.92
  5. Step 5: Solve for x
    x = 434,476,693,838.92/713,227.02
  6. Step 6: Final answer
    x = 609,170.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.