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Finding the Fourth Proportional to 424,197.64, 585,396.10 and 230,605.31

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Solution

The fourth proportional to 424,197.64, 585,396.10 and 230,605.31 is: 318,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,197.64 : 585,396.10 = 230,605.31 : x
  2. Step 2: Convert to fraction form
    424,197.64/585,396.10 = 230,605.31/x
  3. Step 3: Cross multiply
    424,197.64x = 585,396.10 × 230,605.31
  4. Step 4: Simplify right side
    424,197.64x = 134,995,449,113.29
  5. Step 5: Solve for x
    x = 134,995,449,113.29/424,197.64
  6. Step 6: Final answer
    x = 318,237.15

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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.