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Finding the Fourth Proportional to 586,591.68, 880,470.72 and 271,119.36

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Solution

The fourth proportional to 586,591.68, 880,470.72 and 271,119.36 is: 406,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,591.68 : 880,470.72 = 271,119.36 : x
  2. Step 2: Convert to fraction form
    586,591.68/880,470.72 = 271,119.36/x
  3. Step 3: Cross multiply
    586,591.68x = 880,470.72 × 271,119.36
  4. Step 4: Simplify right side
    586,591.68x = 238,712,658,105.14
  5. Step 5: Solve for x
    x = 238,712,658,105.14/586,591.68
  6. Step 6: Final answer
    x = 406,948.59

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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.