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Finding the Fourth Proportional to 321,882.60, 482,823.90 and 202,909.80

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Solution

The fourth proportional to 321,882.60, 482,823.90 and 202,909.80 is: 304,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,882.60 : 482,823.90 = 202,909.80 : x
  2. Step 2: Convert to fraction form
    321,882.60/482,823.90 = 202,909.80/x
  3. Step 3: Cross multiply
    321,882.60x = 482,823.90 × 202,909.80
  4. Step 4: Simplify right side
    321,882.60x = 97,969,700,984.22
  5. Step 5: Solve for x
    x = 97,969,700,984.22/321,882.60
  6. Step 6: Final answer
    x = 304,364.70

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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.