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Finding the Fourth Proportional to 529,404.28, 794,254.65 and 214,082.62

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Solution

The fourth proportional to 529,404.28, 794,254.65 and 214,082.62 is: 321,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,404.28 : 794,254.65 = 214,082.62 : x
  2. Step 2: Convert to fraction form
    529,404.28/794,254.65 = 214,082.62/x
  3. Step 3: Cross multiply
    529,404.28x = 794,254.65 × 214,082.62
  4. Step 4: Simplify right side
    529,404.28x = 170,036,116,419.18
  5. Step 5: Solve for x
    x = 170,036,116,419.18/529,404.28
  6. Step 6: Final answer
    x = 321,183.87

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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.