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Finding the Fourth Proportional to 564,502.78, 846,515.43 and 227,452.93

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Solution

The fourth proportional to 564,502.78, 846,515.43 and 227,452.93 is: 341,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,502.78 : 846,515.43 = 227,452.93 : x
  2. Step 2: Convert to fraction form
    564,502.78/846,515.43 = 227,452.93/x
  3. Step 3: Cross multiply
    564,502.78x = 846,515.43 × 227,452.93
  4. Step 4: Simplify right side
    564,502.78x = 192,542,414,843.71
  5. Step 5: Solve for x
    x = 192,542,414,843.71/564,502.78
  6. Step 6: Final answer
    x = 341,083.20

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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.