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Finding the Fourth Proportional to 534,406.59, 801,535.77 and 135,022.77

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Solution

The fourth proportional to 534,406.59, 801,535.77 and 135,022.77 is: 202,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,406.59 : 801,535.77 = 135,022.77 : x
  2. Step 2: Convert to fraction form
    534,406.59/801,535.77 = 135,022.77/x
  3. Step 3: Cross multiply
    534,406.59x = 801,535.77 × 135,022.77
  4. Step 4: Simplify right side
    534,406.59x = 108,225,579,919.48
  5. Step 5: Solve for x
    x = 108,225,579,919.48/534,406.59
  6. Step 6: Final answer
    x = 202,515.43

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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.