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Finding the Fourth Proportional to 561,294.48, 841,948.92 and 187,317.48

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Solution

The fourth proportional to 561,294.48, 841,948.92 and 187,317.48 is: 280,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,294.48 : 841,948.92 = 187,317.48 : x
  2. Step 2: Convert to fraction form
    561,294.48/841,948.92 = 187,317.48/x
  3. Step 3: Cross multiply
    561,294.48x = 841,948.92 × 187,317.48
  4. Step 4: Simplify right side
    561,294.48x = 157,711,749,983.12
  5. Step 5: Solve for x
    x = 157,711,749,983.12/561,294.48
  6. Step 6: Final answer
    x = 280,978.62

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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.