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Finding the Fourth Proportional to 586,926.88, 880,452 and 187,473.76

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Solution

The fourth proportional to 586,926.88, 880,452 and 187,473.76 is: 281,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,926.88 : 880,452 = 187,473.76 : x
  2. Step 2: Convert to fraction form
    586,926.88/880,452 = 187,473.76/x
  3. Step 3: Cross multiply
    586,926.88x = 880,452 × 187,473.76
  4. Step 4: Simplify right side
    586,926.88x = 165,061,646,939.52
  5. Step 5: Solve for x
    x = 165,061,646,939.52/586,926.88
  6. Step 6: Final answer
    x = 281,230.34

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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.