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Finding the Fourth Proportional to 580,678, 871,071.96 and 225,719.44

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Solution

The fourth proportional to 580,678, 871,071.96 and 225,719.44 is: 338,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,678 : 871,071.96 = 225,719.44 : x
  2. Step 2: Convert to fraction form
    580,678/871,071.96 = 225,719.44/x
  3. Step 3: Cross multiply
    580,678x = 871,071.96 × 225,719.44
  4. Step 4: Simplify right side
    580,678x = 196,617,875,010.90
  5. Step 5: Solve for x
    x = 196,617,875,010.90/580,678
  6. Step 6: Final answer
    x = 338,600.52

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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.