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Finding the Fourth Proportional to 580,983.70, 871,615.65 and 201,849.25

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Solution

The fourth proportional to 580,983.70, 871,615.65 and 201,849.25 is: 302,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,983.70 : 871,615.65 = 201,849.25 : x
  2. Step 2: Convert to fraction form
    580,983.70/871,615.65 = 201,849.25/x
  3. Step 3: Cross multiply
    580,983.70x = 871,615.65 × 201,849.25
  4. Step 4: Simplify right side
    580,983.70x = 175,934,963,061.72
  5. Step 5: Solve for x
    x = 175,934,963,061.72/580,983.70
  6. Step 6: Final answer
    x = 302,822.55

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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.