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Finding the Fourth Proportional to 457,604.12, 631,427.39 and 253,654.98

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Solution

The fourth proportional to 457,604.12, 631,427.39 and 253,654.98 is: 350,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,604.12 : 631,427.39 = 253,654.98 : x
  2. Step 2: Convert to fraction form
    457,604.12/631,427.39 = 253,654.98/x
  3. Step 3: Cross multiply
    457,604.12x = 631,427.39 × 253,654.98
  4. Step 4: Simplify right side
    457,604.12x = 160,164,703,209.27
  5. Step 5: Solve for x
    x = 160,164,703,209.27/457,604.12
  6. Step 6: Final answer
    x = 350,007.13

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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.