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Finding the Fourth Proportional to 523,149.67, 722,165.93 and 353,613.43

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Solution

The fourth proportional to 523,149.67, 722,165.93 and 353,613.43 is: 488,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,149.67 : 722,165.93 = 353,613.43 : x
  2. Step 2: Convert to fraction form
    523,149.67/722,165.93 = 353,613.43/x
  3. Step 3: Cross multiply
    523,149.67x = 722,165.93 × 353,613.43
  4. Step 4: Simplify right side
    523,149.67x = 255,367,571,536.44
  5. Step 5: Solve for x
    x = 255,367,571,536.44/523,149.67
  6. Step 6: Final answer
    x = 488,134.82

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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.