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Finding the Fourth Proportional to 487,294.92, 730,188.54 and 337,827.24

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Solution

The fourth proportional to 487,294.92, 730,188.54 and 337,827.24 is: 506,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,294.92 : 730,188.54 = 337,827.24 : x
  2. Step 2: Convert to fraction form
    487,294.92/730,188.54 = 337,827.24/x
  3. Step 3: Cross multiply
    487,294.92x = 730,188.54 × 337,827.24
  4. Step 4: Simplify right side
    487,294.92x = 246,677,579,147.83
  5. Step 5: Solve for x
    x = 246,677,579,147.83/487,294.92
  6. Step 6: Final answer
    x = 506,218.24

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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.