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Finding the Fourth Proportional to 457,712.27, 631,680.36 and 253,827.14

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Solution

The fourth proportional to 457,712.27, 631,680.36 and 253,827.14 is: 350,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,712.27 : 631,680.36 = 253,827.14 : x
  2. Step 2: Convert to fraction form
    457,712.27/631,680.36 = 253,827.14/x
  3. Step 3: Cross multiply
    457,712.27x = 631,680.36 × 253,827.14
  4. Step 4: Simplify right side
    457,712.27x = 160,337,621,463.35
  5. Step 5: Solve for x
    x = 160,337,621,463.35/457,712.27
  6. Step 6: Final answer
    x = 350,302.21

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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.