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Finding the Fourth Proportional to 321,708.20, 482,951.10 and 319,375.40

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Solution

The fourth proportional to 321,708.20, 482,951.10 and 319,375.40 is: 479,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,708.20 : 482,951.10 = 319,375.40 : x
  2. Step 2: Convert to fraction form
    321,708.20/482,951.10 = 319,375.40/x
  3. Step 3: Cross multiply
    321,708.20x = 482,951.10 × 319,375.40
  4. Step 4: Simplify right side
    321,708.20x = 154,242,700,742.94
  5. Step 5: Solve for x
    x = 154,242,700,742.94/321,708.20
  6. Step 6: Final answer
    x = 479,449.08

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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.