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Finding the Fourth Proportional to 580,747.80, 871,231.86 and 201,653.76

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Solution

The fourth proportional to 580,747.80, 871,231.86 and 201,653.76 is: 302,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,747.80 : 871,231.86 = 201,653.76 : x
  2. Step 2: Convert to fraction form
    580,747.80/871,231.86 = 201,653.76/x
  3. Step 3: Cross multiply
    580,747.80x = 871,231.86 × 201,653.76
  4. Step 4: Simplify right side
    580,747.80x = 175,687,180,400.79
  5. Step 5: Solve for x
    x = 175,687,180,400.79/580,747.80
  6. Step 6: Final answer
    x = 302,518.89

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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.