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Finding the Fourth Proportional to 524,704, 787,188.84 and 150,727

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Solution

The fourth proportional to 524,704, 787,188.84 and 150,727 is: 226,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,704 : 787,188.84 = 150,727 : x
  2. Step 2: Convert to fraction form
    524,704/787,188.84 = 150,727/x
  3. Step 3: Cross multiply
    524,704x = 787,188.84 × 150,727
  4. Step 4: Simplify right side
    524,704x = 118,650,612,286.68
  5. Step 5: Solve for x
    x = 118,650,612,286.68/524,704
  6. Step 6: Final answer
    x = 226,128.66

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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.