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Finding the Fourth Proportional to 457,871.49, 631,868.31 and 253,925.24

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Solution

The fourth proportional to 457,871.49, 631,868.31 and 253,925.24 is: 350,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871.49 : 631,868.31 = 253,925.24 : x
  2. Step 2: Convert to fraction form
    457,871.49/631,868.31 = 253,925.24/x
  3. Step 3: Cross multiply
    457,871.49x = 631,868.31 × 253,925.24
  4. Step 4: Simplify right side
    457,871.49x = 160,447,309,105.80
  5. Step 5: Solve for x
    x = 160,447,309,105.80/457,871.49
  6. Step 6: Final answer
    x = 350,419.96

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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.