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Finding the Fourth Proportional to 392,297.38, 541,534.92 and 265,145.20

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Solution

The fourth proportional to 392,297.38, 541,534.92 and 265,145.20 is: 366,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,297.38 : 541,534.92 = 265,145.20 : x
  2. Step 2: Convert to fraction form
    392,297.38/541,534.92 = 265,145.20/x
  3. Step 3: Cross multiply
    392,297.38x = 541,534.92 × 265,145.20
  4. Step 4: Simplify right side
    392,297.38x = 143,585,382,322.25
  5. Step 5: Solve for x
    x = 143,585,382,322.25/392,297.38
  6. Step 6: Final answer
    x = 366,011.58

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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.