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Finding the Fourth Proportional to 534,835.20, 738,078.38 and 293,112.57

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Solution

The fourth proportional to 534,835.20, 738,078.38 and 293,112.57 is: 404,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,835.20 : 738,078.38 = 293,112.57 : x
  2. Step 2: Convert to fraction form
    534,835.20/738,078.38 = 293,112.57/x
  3. Step 3: Cross multiply
    534,835.20x = 738,078.38 × 293,112.57
  4. Step 4: Simplify right side
    534,835.20x = 216,340,053,224.64
  5. Step 5: Solve for x
    x = 216,340,053,224.64/534,835.20
  6. Step 6: Final answer
    x = 404,498.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.