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Finding the Fourth Proportional to 334,701.60, 502,049.20 and 81,983.20

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Solution

The fourth proportional to 334,701.60, 502,049.20 and 81,983.20 is: 122,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,701.60 : 502,049.20 = 81,983.20 : x
  2. Step 2: Convert to fraction form
    334,701.60/502,049.20 = 81,983.20/x
  3. Step 3: Cross multiply
    334,701.60x = 502,049.20 × 81,983.20
  4. Step 4: Simplify right side
    334,701.60x = 41,159,599,973.44
  5. Step 5: Solve for x
    x = 41,159,599,973.44/334,701.60
  6. Step 6: Final answer
    x = 122,974.02

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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.