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Finding the Fourth Proportional to 383,737.90, 575,727.14 and 159,204.28

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Solution

The fourth proportional to 383,737.90, 575,727.14 and 159,204.28 is: 238,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,737.90 : 575,727.14 = 159,204.28 : x
  2. Step 2: Convert to fraction form
    383,737.90/575,727.14 = 159,204.28/x
  3. Step 3: Cross multiply
    383,737.90x = 575,727.14 × 159,204.28
  4. Step 4: Simplify right side
    383,737.90x = 91,658,224,800.16
  5. Step 5: Solve for x
    x = 91,658,224,800.16/383,737.90
  6. Step 6: Final answer
    x = 238,856.33

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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.