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Finding the Fourth Proportional to 253,016.48, 379,587 and 178,282.56

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Solution

The fourth proportional to 253,016.48, 379,587 and 178,282.56 is: 267,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,016.48 : 379,587 = 178,282.56 : x
  2. Step 2: Convert to fraction form
    253,016.48/379,587 = 178,282.56/x
  3. Step 3: Cross multiply
    253,016.48x = 379,587 × 178,282.56
  4. Step 4: Simplify right side
    253,016.48x = 67,673,742,102.72
  5. Step 5: Solve for x
    x = 67,673,742,102.72/253,016.48
  6. Step 6: Final answer
    x = 267,467.72

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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.