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Finding the Fourth Proportional to 502,942.46, 754,339.86 and 165,994.11

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Solution

The fourth proportional to 502,942.46, 754,339.86 and 165,994.11 is: 248,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,942.46 : 754,339.86 = 165,994.11 : x
  2. Step 2: Convert to fraction form
    502,942.46/754,339.86 = 165,994.11/x
  3. Step 3: Cross multiply
    502,942.46x = 754,339.86 × 165,994.11
  4. Step 4: Simplify right side
    502,942.46x = 125,215,973,698.23
  5. Step 5: Solve for x
    x = 125,215,973,698.23/502,942.46
  6. Step 6: Final answer
    x = 248,966.80

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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.