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Finding the Fourth Proportional to 281,013.54, 387,343.53 and 219,652.80

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Solution

The fourth proportional to 281,013.54, 387,343.53 and 219,652.80 is: 302,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,013.54 : 387,343.53 = 219,652.80 : x
  2. Step 2: Convert to fraction form
    281,013.54/387,343.53 = 219,652.80/x
  3. Step 3: Cross multiply
    281,013.54x = 387,343.53 × 219,652.80
  4. Step 4: Simplify right side
    281,013.54x = 85,081,090,926.38
  5. Step 5: Solve for x
    x = 85,081,090,926.38/281,013.54
  6. Step 6: Final answer
    x = 302,765.09

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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.