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Finding the Fourth Proportional to 534,343.05, 801,265.41 and 309,767.76

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Solution

The fourth proportional to 534,343.05, 801,265.41 and 309,767.76 is: 464,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,343.05 : 801,265.41 = 309,767.76 : x
  2. Step 2: Convert to fraction form
    534,343.05/801,265.41 = 309,767.76/x
  3. Step 3: Cross multiply
    534,343.05x = 801,265.41 × 309,767.76
  4. Step 4: Simplify right side
    534,343.05x = 248,206,191,221.18
  5. Step 5: Solve for x
    x = 248,206,191,221.18/534,343.05
  6. Step 6: Final answer
    x = 464,507.19

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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.