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Finding the Fourth Proportional to 580,984.32, 871,616.58 and 201,849.87

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Solution

The fourth proportional to 580,984.32, 871,616.58 and 201,849.87 is: 302,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,984.32 : 871,616.58 = 201,849.87 : x
  2. Step 2: Convert to fraction form
    580,984.32/871,616.58 = 201,849.87/x
  3. Step 3: Cross multiply
    580,984.32x = 871,616.58 × 201,849.87
  4. Step 4: Simplify right side
    580,984.32x = 175,935,693,362.85
  5. Step 5: Solve for x
    x = 175,935,693,362.85/580,984.32
  6. Step 6: Final answer
    x = 302,823.48

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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.