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Finding the Fourth Proportional to 564,808.68, 779,517.54 and 338,475.24

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Solution

The fourth proportional to 564,808.68, 779,517.54 and 338,475.24 is: 467,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,808.68 : 779,517.54 = 338,475.24 : x
  2. Step 2: Convert to fraction form
    564,808.68/779,517.54 = 338,475.24/x
  3. Step 3: Cross multiply
    564,808.68x = 779,517.54 × 338,475.24
  4. Step 4: Simplify right side
    564,808.68x = 263,847,386,435.71
  5. Step 5: Solve for x
    x = 263,847,386,435.71/564,808.68
  6. Step 6: Final answer
    x = 467,144.71

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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.