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Finding the Fourth Proportional to 410,650.52, 615,927.24 and 126,340.52

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Solution

The fourth proportional to 410,650.52, 615,927.24 and 126,340.52 is: 189,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,650.52 : 615,927.24 = 126,340.52 : x
  2. Step 2: Convert to fraction form
    410,650.52/615,927.24 = 126,340.52/x
  3. Step 3: Cross multiply
    410,650.52x = 615,927.24 × 126,340.52
  4. Step 4: Simplify right side
    410,650.52x = 77,816,564,704.13
  5. Step 5: Solve for x
    x = 77,816,564,704.13/410,650.52
  6. Step 6: Final answer
    x = 189,495.84

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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.