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Finding the Fourth Proportional to 395,960, 593,657.84 and 185,483.12

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Solution

The fourth proportional to 395,960, 593,657.84 and 185,483.12 is: 278,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,960 : 593,657.84 = 185,483.12 : x
  2. Step 2: Convert to fraction form
    395,960/593,657.84 = 185,483.12/x
  3. Step 3: Cross multiply
    395,960x = 593,657.84 × 185,483.12
  4. Step 4: Simplify right side
    395,960x = 110,113,508,375.66
  5. Step 5: Solve for x
    x = 110,113,508,375.66/395,960
  6. Step 6: Final answer
    x = 278,092.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.