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Finding the Fourth Proportional to 424,592.85, 585,689.31 and 271,575.21

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Solution

The fourth proportional to 424,592.85, 585,689.31 and 271,575.21 is: 374,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,592.85 : 585,689.31 = 271,575.21 : x
  2. Step 2: Convert to fraction form
    424,592.85/585,689.31 = 271,575.21/x
  3. Step 3: Cross multiply
    424,592.85x = 585,689.31 × 271,575.21
  4. Step 4: Simplify right side
    424,592.85x = 159,058,697,358.01
  5. Step 5: Solve for x
    x = 159,058,697,358.01/424,592.85
  6. Step 6: Final answer
    x = 374,614.64

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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.