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Finding the Fourth Proportional to 343,712.88, 515,773.44 and 185,937.84

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Solution

The fourth proportional to 343,712.88, 515,773.44 and 185,937.84 is: 279,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,712.88 : 515,773.44 = 185,937.84 : x
  2. Step 2: Convert to fraction form
    343,712.88/515,773.44 = 185,937.84/x
  3. Step 3: Cross multiply
    343,712.88x = 515,773.44 × 185,937.84
  4. Step 4: Simplify right side
    343,712.88x = 95,901,799,362.97
  5. Step 5: Solve for x
    x = 95,901,799,362.97/343,712.88
  6. Step 6: Final answer
    x = 279,017.18

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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.