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Finding the Fourth Proportional to 514,694.77, 772,092.06 and 159,613.45

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Solution

The fourth proportional to 514,694.77, 772,092.06 and 159,613.45 is: 239,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,694.77 : 772,092.06 = 159,613.45 : x
  2. Step 2: Convert to fraction form
    514,694.77/772,092.06 = 159,613.45/x
  3. Step 3: Cross multiply
    514,694.77x = 772,092.06 × 159,613.45
  4. Step 4: Simplify right side
    514,694.77x = 123,236,277,414.21
  5. Step 5: Solve for x
    x = 123,236,277,414.21/514,694.77
  6. Step 6: Final answer
    x = 239,435.65

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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.