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Finding the Fourth Proportional to 274,508.32, 411,833.47 and 160,752.20

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Solution

The fourth proportional to 274,508.32, 411,833.47 and 160,752.20 is: 241,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,508.32 : 411,833.47 = 160,752.20 : x
  2. Step 2: Convert to fraction form
    274,508.32/411,833.47 = 160,752.20/x
  3. Step 3: Cross multiply
    274,508.32x = 411,833.47 × 160,752.20
  4. Step 4: Simplify right side
    274,508.32x = 66,203,133,875.09
  5. Step 5: Solve for x
    x = 66,203,133,875.09/274,508.32
  6. Step 6: Final answer
    x = 241,169.87

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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.