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Finding the Fourth Proportional to 650,082.62, 897,140.45 and 359,689.47

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Solution

The fourth proportional to 650,082.62, 897,140.45 and 359,689.47 is: 496,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,082.62 : 897,140.45 = 359,689.47 : x
  2. Step 2: Convert to fraction form
    650,082.62/897,140.45 = 359,689.47/x
  3. Step 3: Cross multiply
    650,082.62x = 897,140.45 × 359,689.47
  4. Step 4: Simplify right side
    650,082.62x = 322,691,970,511.01
  5. Step 5: Solve for x
    x = 322,691,970,511.01/650,082.62
  6. Step 6: Final answer
    x = 496,386.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.