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Finding the Fourth Proportional to 564,761.64, 779,369.44 and 338,407.14

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Solution

The fourth proportional to 564,761.64, 779,369.44 and 338,407.14 is: 467,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,761.64 : 779,369.44 = 338,407.14 : x
  2. Step 2: Convert to fraction form
    564,761.64/779,369.44 = 338,407.14/x
  3. Step 3: Cross multiply
    564,761.64x = 779,369.44 × 338,407.14
  4. Step 4: Simplify right side
    564,761.64x = 263,744,183,193.80
  5. Step 5: Solve for x
    x = 263,744,183,193.80/564,761.64
  6. Step 6: Final answer
    x = 467,000.88

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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.