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Finding the Fourth Proportional to 537,814.74, 806,534.01 and 158,634.90

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Solution

The fourth proportional to 537,814.74, 806,534.01 and 158,634.90 is: 237,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,814.74 : 806,534.01 = 158,634.90 : x
  2. Step 2: Convert to fraction form
    537,814.74/806,534.01 = 158,634.90/x
  3. Step 3: Cross multiply
    537,814.74x = 806,534.01 × 158,634.90
  4. Step 4: Simplify right side
    537,814.74x = 127,944,442,022.95
  5. Step 5: Solve for x
    x = 127,944,442,022.95/537,814.74
  6. Step 6: Final answer
    x = 237,896.87

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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.