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Finding the Fourth Proportional to 311,718.46, 430,162.84 and 175,751.20

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Solution

The fourth proportional to 311,718.46, 430,162.84 and 175,751.20 is: 242,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,718.46 : 430,162.84 = 175,751.20 : x
  2. Step 2: Convert to fraction form
    311,718.46/430,162.84 = 175,751.20/x
  3. Step 3: Cross multiply
    311,718.46x = 430,162.84 × 175,751.20
  4. Step 4: Simplify right side
    311,718.46x = 75,601,634,689.38
  5. Step 5: Solve for x
    x = 75,601,634,689.38/311,718.46
  6. Step 6: Final answer
    x = 242,531.79

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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.