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Finding the Fourth Proportional to 516,740.82, 775,061.10 and 156,914.78

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Solution

The fourth proportional to 516,740.82, 775,061.10 and 156,914.78 is: 235,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,740.82 : 775,061.10 = 156,914.78 : x
  2. Step 2: Convert to fraction form
    516,740.82/775,061.10 = 156,914.78/x
  3. Step 3: Cross multiply
    516,740.82x = 775,061.10 × 156,914.78
  4. Step 4: Simplify right side
    516,740.82x = 121,618,541,993.06
  5. Step 5: Solve for x
    x = 121,618,541,993.06/516,740.82
  6. Step 6: Final answer
    x = 235,356.95

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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.