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Finding the Fourth Proportional to 410,563.69, 615,862.55 and 140,877.24

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Solution

The fourth proportional to 410,563.69, 615,862.55 and 140,877.24 is: 211,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,563.69 : 615,862.55 = 140,877.24 : x
  2. Step 2: Convert to fraction form
    410,563.69/615,862.55 = 140,877.24/x
  3. Step 3: Cross multiply
    410,563.69x = 615,862.55 × 140,877.24
  4. Step 4: Simplify right side
    410,563.69x = 86,761,016,263.36
  5. Step 5: Solve for x
    x = 86,761,016,263.36/410,563.69
  6. Step 6: Final answer
    x = 211,321.70

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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.