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Finding the Fourth Proportional to 467,695.40, 701,672.70 and 310,231.40

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Solution

The fourth proportional to 467,695.40, 701,672.70 and 310,231.40 is: 465,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,695.40 : 701,672.70 = 310,231.40 : x
  2. Step 2: Convert to fraction form
    467,695.40/701,672.70 = 310,231.40/x
  3. Step 3: Cross multiply
    467,695.40x = 701,672.70 × 310,231.40
  4. Step 4: Simplify right side
    467,695.40x = 217,680,904,062.78
  5. Step 5: Solve for x
    x = 217,680,904,062.78/467,695.40
  6. Step 6: Final answer
    x = 465,433.07

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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.