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Finding the Fourth Proportional to 580,522.20, 871,119.58 and 243,533

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Solution

The fourth proportional to 580,522.20, 871,119.58 and 243,533 is: 365,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,522.20 : 871,119.58 = 243,533 : x
  2. Step 2: Convert to fraction form
    580,522.20/871,119.58 = 243,533/x
  3. Step 3: Cross multiply
    580,522.20x = 871,119.58 × 243,533
  4. Step 4: Simplify right side
    580,522.20x = 212,146,364,676.14
  5. Step 5: Solve for x
    x = 212,146,364,676.14/580,522.20
  6. Step 6: Final answer
    x = 365,440.57

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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.