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Finding the Fourth Proportional to 424,242.53, 585,439.70 and 233,254.43

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Solution

The fourth proportional to 424,242.53, 585,439.70 and 233,254.43 is: 321,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,242.53 : 585,439.70 = 233,254.43 : x
  2. Step 2: Convert to fraction form
    424,242.53/585,439.70 = 233,254.43/x
  3. Step 3: Cross multiply
    424,242.53x = 585,439.70 × 233,254.43
  4. Step 4: Simplify right side
    424,242.53x = 136,556,403,522.87
  5. Step 5: Solve for x
    x = 136,556,403,522.87/424,242.53
  6. Step 6: Final answer
    x = 321,882.87

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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.