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Finding the Fourth Proportional to 424,421.64, 585,693 and 233,431.92

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Solution

The fourth proportional to 424,421.64, 585,693 and 233,431.92 is: 322,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,421.64 : 585,693 = 233,431.92 : x
  2. Step 2: Convert to fraction form
    424,421.64/585,693 = 233,431.92/x
  3. Step 3: Cross multiply
    424,421.64x = 585,693 × 233,431.92
  4. Step 4: Simplify right side
    424,421.64x = 136,719,441,520.56
  5. Step 5: Solve for x
    x = 136,719,441,520.56/424,421.64
  6. Step 6: Final answer
    x = 322,131.17

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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.