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Finding the Fourth Proportional to 290,282.32, 400,589.31 and 162,958.15

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Solution

The fourth proportional to 290,282.32, 400,589.31 and 162,958.15 is: 224,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,282.32 : 400,589.31 = 162,958.15 : x
  2. Step 2: Convert to fraction form
    290,282.32/400,589.31 = 162,958.15/x
  3. Step 3: Cross multiply
    290,282.32x = 400,589.31 × 162,958.15
  4. Step 4: Simplify right side
    290,282.32x = 65,279,292,867.38
  5. Step 5: Solve for x
    x = 65,279,292,867.38/290,282.32
  6. Step 6: Final answer
    x = 224,882.08

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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.