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Finding the Fourth Proportional to 655,197.75, 904,260.38 and 428,974.47

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Solution

The fourth proportional to 655,197.75, 904,260.38 and 428,974.47 is: 592,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,197.75 : 904,260.38 = 428,974.47 : x
  2. Step 2: Convert to fraction form
    655,197.75/904,260.38 = 428,974.47/x
  3. Step 3: Cross multiply
    655,197.75x = 904,260.38 × 428,974.47
  4. Step 4: Simplify right side
    655,197.75x = 387,904,615,107.63
  5. Step 5: Solve for x
    x = 387,904,615,107.63/655,197.75
  6. Step 6: Final answer
    x = 592,042.04

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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.