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Finding the Fourth Proportional to 457,335.38, 631,122.82 and 256,131.38

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Solution

The fourth proportional to 457,335.38, 631,122.82 and 256,131.38 is: 353,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,335.38 : 631,122.82 = 256,131.38 : x
  2. Step 2: Convert to fraction form
    457,335.38/631,122.82 = 256,131.38/x
  3. Step 3: Cross multiply
    457,335.38x = 631,122.82 × 256,131.38
  4. Step 4: Simplify right side
    457,335.38x = 161,650,355,040.15
  5. Step 5: Solve for x
    x = 161,650,355,040.15/457,335.38
  6. Step 6: Final answer
    x = 353,461.30

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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.