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Finding the Fourth Proportional to 538,211.10, 807,310.17 and 164,235.18

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Solution

The fourth proportional to 538,211.10, 807,310.17 and 164,235.18 is: 246,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,211.10 : 807,310.17 = 164,235.18 : x
  2. Step 2: Convert to fraction form
    538,211.10/807,310.17 = 164,235.18/x
  3. Step 3: Cross multiply
    538,211.10x = 807,310.17 × 164,235.18
  4. Step 4: Simplify right side
    538,211.10x = 132,588,731,085.78
  5. Step 5: Solve for x
    x = 132,588,731,085.78/538,211.10
  6. Step 6: Final answer
    x = 246,350.79

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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.