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Finding the Fourth Proportional to 552,774.57, 827,833.11 and 315,397.59

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Solution

The fourth proportional to 552,774.57, 827,833.11 and 315,397.59 is: 472,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,774.57 : 827,833.11 = 315,397.59 : x
  2. Step 2: Convert to fraction form
    552,774.57/827,833.11 = 315,397.59/x
  3. Step 3: Cross multiply
    552,774.57x = 827,833.11 × 315,397.59
  4. Step 4: Simplify right side
    552,774.57x = 261,096,567,816.21
  5. Step 5: Solve for x
    x = 261,096,567,816.21/552,774.57
  6. Step 6: Final answer
    x = 472,338.24

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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.