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Finding the Fourth Proportional to 523,104.17, 721,697.90 and 341,920.53

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Solution

The fourth proportional to 523,104.17, 721,697.90 and 341,920.53 is: 471,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,104.17 : 721,697.90 = 341,920.53 : x
  2. Step 2: Convert to fraction form
    523,104.17/721,697.90 = 341,920.53/x
  3. Step 3: Cross multiply
    523,104.17x = 721,697.90 × 341,920.53
  4. Step 4: Simplify right side
    523,104.17x = 246,763,326,758.28
  5. Step 5: Solve for x
    x = 246,763,326,758.28/523,104.17
  6. Step 6: Final answer
    x = 471,728.85

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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.