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Finding the Fourth Proportional to 586,951.88, 878,921.27 and 406,780.52

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Solution

The fourth proportional to 586,951.88, 878,921.27 and 406,780.52 is: 609,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,951.88 : 878,921.27 = 406,780.52 : x
  2. Step 2: Convert to fraction form
    586,951.88/878,921.27 = 406,780.52/x
  3. Step 3: Cross multiply
    586,951.88x = 878,921.27 × 406,780.52
  4. Step 4: Simplify right side
    586,951.88x = 357,528,049,215.76
  5. Step 5: Solve for x
    x = 357,528,049,215.76/586,951.88
  6. Step 6: Final answer
    x = 609,126.68

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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.