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Finding the Fourth Proportional to 304,243.96, 456,426.80 and 93,874

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Solution

The fourth proportional to 304,243.96, 456,426.80 and 93,874 is: 140,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,243.96 : 456,426.80 = 93,874 : x
  2. Step 2: Convert to fraction form
    304,243.96/456,426.80 = 93,874/x
  3. Step 3: Cross multiply
    304,243.96x = 456,426.80 × 93,874
  4. Step 4: Simplify right side
    304,243.96x = 42,846,609,423.20
  5. Step 5: Solve for x
    x = 42,846,609,423.20/304,243.96
  6. Step 6: Final answer
    x = 140,829.78

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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.