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Finding the Fourth Proportional to 265,341.30, 398,014.92 and 113,517.72

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Solution

The fourth proportional to 265,341.30, 398,014.92 and 113,517.72 is: 170,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,341.30 : 398,014.92 = 113,517.72 : x
  2. Step 2: Convert to fraction form
    265,341.30/398,014.92 = 113,517.72/x
  3. Step 3: Cross multiply
    265,341.30x = 398,014.92 × 113,517.72
  4. Step 4: Simplify right side
    265,341.30x = 45,181,746,244.38
  5. Step 5: Solve for x
    x = 45,181,746,244.38/265,341.30
  6. Step 6: Final answer
    x = 170,277.85

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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.