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Finding the Fourth Proportional to 321,432.49, 443,582.85 and 176,228.65

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Solution

The fourth proportional to 321,432.49, 443,582.85 and 176,228.65 is: 243,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,432.49 : 443,582.85 = 176,228.65 : x
  2. Step 2: Convert to fraction form
    321,432.49/443,582.85 = 176,228.65/x
  3. Step 3: Cross multiply
    321,432.49x = 443,582.85 × 176,228.65
  4. Step 4: Simplify right side
    321,432.49x = 78,172,006,818.65
  5. Step 5: Solve for x
    x = 78,172,006,818.65/321,432.49
  6. Step 6: Final answer
    x = 243,198.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.