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Finding the Fourth Proportional to 586,678.40, 880,082.40 and 187,251.20

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Solution

The fourth proportional to 586,678.40, 880,082.40 and 187,251.20 is: 280,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,678.40 : 880,082.40 = 187,251.20 : x
  2. Step 2: Convert to fraction form
    586,678.40/880,082.40 = 187,251.20/x
  3. Step 3: Cross multiply
    586,678.40x = 880,082.40 × 187,251.20
  4. Step 4: Simplify right side
    586,678.40x = 164,796,485,498.88
  5. Step 5: Solve for x
    x = 164,796,485,498.88/586,678.40
  6. Step 6: Final answer
    x = 280,897.48

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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.