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Finding the Fourth Proportional to 532,375.40, 797,834.10 and 342,252.20

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Solution

The fourth proportional to 532,375.40, 797,834.10 and 342,252.20 is: 512,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,375.40 : 797,834.10 = 342,252.20 : x
  2. Step 2: Convert to fraction form
    532,375.40/797,834.10 = 342,252.20/x
  3. Step 3: Cross multiply
    532,375.40x = 797,834.10 × 342,252.20
  4. Step 4: Simplify right side
    532,375.40x = 273,060,475,960.02
  5. Step 5: Solve for x
    x = 273,060,475,960.02/532,375.40
  6. Step 6: Final answer
    x = 512,909.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.