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Finding the Fourth Proportional to 423,759.38, 584,792.24 and 230,170.86

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Solution

The fourth proportional to 423,759.38, 584,792.24 and 230,170.86 is: 317,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,759.38 : 584,792.24 = 230,170.86 : x
  2. Step 2: Convert to fraction form
    423,759.38/584,792.24 = 230,170.86/x
  3. Step 3: Cross multiply
    423,759.38x = 584,792.24 × 230,170.86
  4. Step 4: Simplify right side
    423,759.38x = 134,602,131,651.27
  5. Step 5: Solve for x
    x = 134,602,131,651.27/423,759.38
  6. Step 6: Final answer
    x = 317,638.12

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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.