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Finding the Fourth Proportional to 321,646.38, 443,581.45 and 200,798.83

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Solution

The fourth proportional to 321,646.38, 443,581.45 and 200,798.83 is: 276,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,646.38 : 443,581.45 = 200,798.83 : x
  2. Step 2: Convert to fraction form
    321,646.38/443,581.45 = 200,798.83/x
  3. Step 3: Cross multiply
    321,646.38x = 443,581.45 × 200,798.83
  4. Step 4: Simplify right side
    321,646.38x = 89,070,636,169.70
  5. Step 5: Solve for x
    x = 89,070,636,169.70/321,646.38
  6. Step 6: Final answer
    x = 276,921.00

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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.