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Finding the Fourth Proportional to 412,735.38, 569,695.77 and 269,517.66

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Solution

The fourth proportional to 412,735.38, 569,695.77 and 269,517.66 is: 372,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,735.38 : 569,695.77 = 269,517.66 : x
  2. Step 2: Convert to fraction form
    412,735.38/569,695.77 = 269,517.66/x
  3. Step 3: Cross multiply
    412,735.38x = 569,695.77 × 269,517.66
  4. Step 4: Simplify right side
    412,735.38x = 153,543,070,842.30
  5. Step 5: Solve for x
    x = 153,543,070,842.30/412,735.38
  6. Step 6: Final answer
    x = 372,013.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.