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Finding the Fourth Proportional to 514,841.32, 772,296.54 and 140,867.56

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Solution

The fourth proportional to 514,841.32, 772,296.54 and 140,867.56 is: 211,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,841.32 : 772,296.54 = 140,867.56 : x
  2. Step 2: Convert to fraction form
    514,841.32/772,296.54 = 140,867.56/x
  3. Step 3: Cross multiply
    514,841.32x = 772,296.54 × 140,867.56
  4. Step 4: Simplify right side
    514,841.32x = 108,791,529,186.24
  5. Step 5: Solve for x
    x = 108,791,529,186.24/514,841.32
  6. Step 6: Final answer
    x = 211,310.80

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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.