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Finding the Fourth Proportional to 345,327.66, 517,017.60 and 182,853.54

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Solution

The fourth proportional to 345,327.66, 517,017.60 and 182,853.54 is: 273,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,327.66 : 517,017.60 = 182,853.54 : x
  2. Step 2: Convert to fraction form
    345,327.66/517,017.60 = 182,853.54/x
  3. Step 3: Cross multiply
    345,327.66x = 517,017.60 × 182,853.54
  4. Step 4: Simplify right side
    345,327.66x = 94,538,498,402.30
  5. Step 5: Solve for x
    x = 94,538,498,402.30/345,327.66
  6. Step 6: Final answer
    x = 273,764.63

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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.