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Finding the Fourth Proportional to 311,088.59, 428,398.46 and 270,234.06

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Solution

The fourth proportional to 311,088.59, 428,398.46 and 270,234.06 is: 372,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,088.59 : 428,398.46 = 270,234.06 : x
  2. Step 2: Convert to fraction form
    311,088.59/428,398.46 = 270,234.06/x
  3. Step 3: Cross multiply
    311,088.59x = 428,398.46 × 270,234.06
  4. Step 4: Simplify right side
    311,088.59x = 115,767,853,792.38
  5. Step 5: Solve for x
    x = 115,767,853,792.38/311,088.59
  6. Step 6: Final answer
    x = 372,137.90

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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.