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Finding the Fourth Proportional to 410,459.68, 615,781.86 and 144,238.60

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Solution

The fourth proportional to 410,459.68, 615,781.86 and 144,238.60 is: 216,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,459.68 : 615,781.86 = 144,238.60 : x
  2. Step 2: Convert to fraction form
    410,459.68/615,781.86 = 144,238.60/x
  3. Step 3: Cross multiply
    410,459.68x = 615,781.86 × 144,238.60
  4. Step 4: Simplify right side
    410,459.68x = 88,819,513,391.80
  5. Step 5: Solve for x
    x = 88,819,513,391.80/410,459.68
  6. Step 6: Final answer
    x = 216,390.35

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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.