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Finding the Fourth Proportional to 410,423.52, 615,697.02 and 144,137.28

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Solution

The fourth proportional to 410,423.52, 615,697.02 and 144,137.28 is: 216,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,423.52 : 615,697.02 = 144,137.28 : x
  2. Step 2: Convert to fraction form
    410,423.52/615,697.02 = 144,137.28/x
  3. Step 3: Cross multiply
    410,423.52x = 615,697.02 × 144,137.28
  4. Step 4: Simplify right side
    410,423.52x = 88,744,893,766.91
  5. Step 5: Solve for x
    x = 88,744,893,766.91/410,423.52
  6. Step 6: Final answer
    x = 216,227.60

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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.