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Finding the Fourth Proportional to 457,549.59, 631,456.22 and 253,664.46

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Solution

The fourth proportional to 457,549.59, 631,456.22 and 253,664.46 is: 350,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,549.59 : 631,456.22 = 253,664.46 : x
  2. Step 2: Convert to fraction form
    457,549.59/631,456.22 = 253,664.46/x
  3. Step 3: Cross multiply
    457,549.59x = 631,456.22 × 253,664.46
  4. Step 4: Simplify right side
    457,549.59x = 160,177,997,902.66
  5. Step 5: Solve for x
    x = 160,177,997,902.66/457,549.59
  6. Step 6: Final answer
    x = 350,077.90

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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.