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Finding the Fourth Proportional to 410,035.59, 615,097.11 and 173,402.19

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Solution

The fourth proportional to 410,035.59, 615,097.11 and 173,402.19 is: 260,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,035.59 : 615,097.11 = 173,402.19 : x
  2. Step 2: Convert to fraction form
    410,035.59/615,097.11 = 173,402.19/x
  3. Step 3: Cross multiply
    410,035.59x = 615,097.11 × 173,402.19
  4. Step 4: Simplify right side
    410,035.59x = 106,659,185,936.67
  5. Step 5: Solve for x
    x = 106,659,185,936.67/410,035.59
  6. Step 6: Final answer
    x = 260,121.78

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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.