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Finding the Fourth Proportional to 525,892.91, 725,732.15 and 284,175.48

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Solution

The fourth proportional to 525,892.91, 725,732.15 and 284,175.48 is: 392,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,892.91 : 725,732.15 = 284,175.48 : x
  2. Step 2: Convert to fraction form
    525,892.91/725,732.15 = 284,175.48/x
  3. Step 3: Cross multiply
    525,892.91x = 725,732.15 × 284,175.48
  4. Step 4: Simplify right side
    525,892.91x = 206,235,280,656.81
  5. Step 5: Solve for x
    x = 206,235,280,656.81/525,892.91
  6. Step 6: Final answer
    x = 392,162.13

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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.