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Finding the Fourth Proportional to 410,944.29, 615,419.96 and 284,228.90

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Solution

The fourth proportional to 410,944.29, 615,419.96 and 284,228.90 is: 425,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,944.29 : 615,419.96 = 284,228.90 : x
  2. Step 2: Convert to fraction form
    410,944.29/615,419.96 = 284,228.90/x
  3. Step 3: Cross multiply
    410,944.29x = 615,419.96 × 284,228.90
  4. Step 4: Simplify right side
    410,944.29x = 174,920,133,770.60
  5. Step 5: Solve for x
    x = 174,920,133,770.60/410,944.29
  6. Step 6: Final answer
    x = 425,654.13

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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.