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Finding the Fourth Proportional to 616,123.54, 922,082.55 and 516,396.34

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Solution

The fourth proportional to 616,123.54, 922,082.55 and 516,396.34 is: 772,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,123.54 : 922,082.55 = 516,396.34 : x
  2. Step 2: Convert to fraction form
    616,123.54/922,082.55 = 516,396.34/x
  3. Step 3: Cross multiply
    616,123.54x = 922,082.55 × 516,396.34
  4. Step 4: Simplify right side
    616,123.54x = 476,160,053,997.87
  5. Step 5: Solve for x
    x = 476,160,053,997.87/616,123.54
  6. Step 6: Final answer
    x = 772,832.11

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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.