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Finding the Fourth Proportional to 410,402.57, 615,665.54 and 144,116.21

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Solution

The fourth proportional to 410,402.57, 615,665.54 and 144,116.21 is: 216,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,402.57 : 615,665.54 = 144,116.21 : x
  2. Step 2: Convert to fraction form
    410,402.57/615,665.54 = 144,116.21/x
  3. Step 3: Cross multiply
    410,402.57x = 615,665.54 × 144,116.21
  4. Step 4: Simplify right side
    410,402.57x = 88,727,386,151.86
  5. Step 5: Solve for x
    x = 88,727,386,151.86/410,402.57
  6. Step 6: Final answer
    x = 216,195.98

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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.