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Finding the Fourth Proportional to 580,551.42, 871,158.78 and 225,519.24

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Solution

The fourth proportional to 580,551.42, 871,158.78 and 225,519.24 is: 338,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,551.42 : 871,158.78 = 225,519.24 : x
  2. Step 2: Convert to fraction form
    580,551.42/871,158.78 = 225,519.24/x
  3. Step 3: Cross multiply
    580,551.42x = 871,158.78 × 225,519.24
  4. Step 4: Simplify right side
    580,551.42x = 196,463,065,984.93
  5. Step 5: Solve for x
    x = 196,463,065,984.93/580,551.42
  6. Step 6: Final answer
    x = 338,407.69

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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.