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Finding the Fourth Proportional to 402,671.08, 604,079.52 and 165,882.16

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Solution

The fourth proportional to 402,671.08, 604,079.52 and 165,882.16 is: 248,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,671.08 : 604,079.52 = 165,882.16 : x
  2. Step 2: Convert to fraction form
    402,671.08/604,079.52 = 165,882.16/x
  3. Step 3: Cross multiply
    402,671.08x = 604,079.52 × 165,882.16
  4. Step 4: Simplify right side
    402,671.08x = 100,206,015,589.36
  5. Step 5: Solve for x
    x = 100,206,015,589.36/402,671.08
  6. Step 6: Final answer
    x = 248,853.27

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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.