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Finding the Fourth Proportional to 339,716.28, 509,585.94 and 90,398.52

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Solution

The fourth proportional to 339,716.28, 509,585.94 and 90,398.52 is: 135,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,716.28 : 509,585.94 = 90,398.52 : x
  2. Step 2: Convert to fraction form
    339,716.28/509,585.94 = 90,398.52/x
  3. Step 3: Cross multiply
    339,716.28x = 509,585.94 × 90,398.52
  4. Step 4: Simplify right side
    339,716.28x = 46,065,814,788.81
  5. Step 5: Solve for x
    x = 46,065,814,788.81/339,716.28
  6. Step 6: Final answer
    x = 135,600.85

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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.