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Finding the Fourth Proportional to 580,748.80, 871,233.36 and 201,654.76

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Solution

The fourth proportional to 580,748.80, 871,233.36 and 201,654.76 is: 302,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,748.80 : 871,233.36 = 201,654.76 : x
  2. Step 2: Convert to fraction form
    580,748.80/871,233.36 = 201,654.76/x
  3. Step 3: Cross multiply
    580,748.80x = 871,233.36 × 201,654.76
  4. Step 4: Simplify right side
    580,748.80x = 175,688,354,114.79
  5. Step 5: Solve for x
    x = 175,688,354,114.79/580,748.80
  6. Step 6: Final answer
    x = 302,520.39

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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.