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Finding the Fourth Proportional to 534,695.30, 801,959.12 and 174,863.18

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Solution

The fourth proportional to 534,695.30, 801,959.12 and 174,863.18 is: 262,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,695.30 : 801,959.12 = 174,863.18 : x
  2. Step 2: Convert to fraction form
    534,695.30/801,959.12 = 174,863.18/x
  3. Step 3: Cross multiply
    534,695.30x = 801,959.12 × 174,863.18
  4. Step 4: Simplify right side
    534,695.30x = 140,233,121,238.11
  5. Step 5: Solve for x
    x = 140,233,121,238.11/534,695.30
  6. Step 6: Final answer
    x = 262,267.35

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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.