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Finding the Fourth Proportional to 580,967.60, 871,278.60 and 225,777.20

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Solution

The fourth proportional to 580,967.60, 871,278.60 and 225,777.20 is: 338,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,967.60 : 871,278.60 = 225,777.20 : x
  2. Step 2: Convert to fraction form
    580,967.60/871,278.60 = 225,777.20/x
  3. Step 3: Cross multiply
    580,967.60x = 871,278.60 × 225,777.20
  4. Step 4: Simplify right side
    580,967.60x = 196,714,842,727.92
  5. Step 5: Solve for x
    x = 196,714,842,727.92/580,967.60
  6. Step 6: Final answer
    x = 338,598.65

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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.