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Finding the Fourth Proportional to 321,523.65, 443,681.01 and 178,278.39

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Solution

The fourth proportional to 321,523.65, 443,681.01 and 178,278.39 is: 246,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,523.65 : 443,681.01 = 178,278.39 : x
  2. Step 2: Convert to fraction form
    321,523.65/443,681.01 = 178,278.39/x
  3. Step 3: Cross multiply
    321,523.65x = 443,681.01 × 178,278.39
  4. Step 4: Simplify right side
    321,523.65x = 79,098,736,136.37
  5. Step 5: Solve for x
    x = 79,098,736,136.37/321,523.65
  6. Step 6: Final answer
    x = 246,012.19

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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.