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Finding the Fourth Proportional to 538,780.36, 743,680.02 and 312,481.48

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Solution

The fourth proportional to 538,780.36, 743,680.02 and 312,481.48 is: 431,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,780.36 : 743,680.02 = 312,481.48 : x
  2. Step 2: Convert to fraction form
    538,780.36/743,680.02 = 312,481.48/x
  3. Step 3: Cross multiply
    538,780.36x = 743,680.02 × 312,481.48
  4. Step 4: Simplify right side
    538,780.36x = 232,386,233,296.03
  5. Step 5: Solve for x
    x = 232,386,233,296.03/538,780.36
  6. Step 6: Final answer
    x = 431,319.05

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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.