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Finding the Fourth Proportional to 463,777.50, 694,760.26 and 319,657.71

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Solution

The fourth proportional to 463,777.50, 694,760.26 and 319,657.71 is: 478,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,777.50 : 694,760.26 = 319,657.71 : x
  2. Step 2: Convert to fraction form
    463,777.50/694,760.26 = 319,657.71/x
  3. Step 3: Cross multiply
    463,777.50x = 694,760.26 × 319,657.71
  4. Step 4: Simplify right side
    463,777.50x = 222,085,473,710.61
  5. Step 5: Solve for x
    x = 222,085,473,710.61/463,777.50
  6. Step 6: Final answer
    x = 478,862.11

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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.