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Finding the Fourth Proportional to 410,281.59, 615,471.53 and 125,934.90

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Solution

The fourth proportional to 410,281.59, 615,471.53 and 125,934.90 is: 188,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,281.59 : 615,471.53 = 125,934.90 : x
  2. Step 2: Convert to fraction form
    410,281.59/615,471.53 = 125,934.90/x
  3. Step 3: Cross multiply
    410,281.59x = 615,471.53 × 125,934.90
  4. Step 4: Simplify right side
    410,281.59x = 77,509,344,953.72
  5. Step 5: Solve for x
    x = 77,509,344,953.72/410,281.59
  6. Step 6: Final answer
    x = 188,917.43

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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.