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Finding the Fourth Proportional to 457,966.31, 632,069.19 and 254,082.90

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Solution

The fourth proportional to 457,966.31, 632,069.19 and 254,082.90 is: 350,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,966.31 : 632,069.19 = 254,082.90 : x
  2. Step 2: Convert to fraction form
    457,966.31/632,069.19 = 254,082.90/x
  3. Step 3: Cross multiply
    457,966.31x = 632,069.19 × 254,082.90
  4. Step 4: Simplify right side
    457,966.31x = 160,597,969,635.51
  5. Step 5: Solve for x
    x = 160,597,969,635.51/457,966.31
  6. Step 6: Final answer
    x = 350,676.38

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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.