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Finding the Fourth Proportional to 381,151.08, 570,964.26 and 229,264.29

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Solution

The fourth proportional to 381,151.08, 570,964.26 and 229,264.29 is: 343,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,151.08 : 570,964.26 = 229,264.29 : x
  2. Step 2: Convert to fraction form
    381,151.08/570,964.26 = 229,264.29/x
  3. Step 3: Cross multiply
    381,151.08x = 570,964.26 × 229,264.29
  4. Step 4: Simplify right side
    381,151.08x = 130,901,715,684.28
  5. Step 5: Solve for x
    x = 130,901,715,684.28/381,151.08
  6. Step 6: Final answer
    x = 343,437.87

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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.