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Finding the Fourth Proportional to 564,916.88, 779,581.77 and 338,562.38

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Solution

The fourth proportional to 564,916.88, 779,581.77 and 338,562.38 is: 467,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,916.88 : 779,581.77 = 338,562.38 : x
  2. Step 2: Convert to fraction form
    564,916.88/779,581.77 = 338,562.38/x
  3. Step 3: Cross multiply
    564,916.88x = 779,581.77 × 338,562.38
  4. Step 4: Simplify right side
    564,916.88x = 263,937,060,135.16
  5. Step 5: Solve for x
    x = 263,937,060,135.16/564,916.88
  6. Step 6: Final answer
    x = 467,213.97

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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.