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Finding the Fourth Proportional to 278,609.79, 384,462.98 and 154,422.70

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Solution

The fourth proportional to 278,609.79, 384,462.98 and 154,422.70 is: 213,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,609.79 : 384,462.98 = 154,422.70 : x
  2. Step 2: Convert to fraction form
    278,609.79/384,462.98 = 154,422.70/x
  3. Step 3: Cross multiply
    278,609.79x = 384,462.98 × 154,422.70
  4. Step 4: Simplify right side
    278,609.79x = 59,369,812,864.38
  5. Step 5: Solve for x
    x = 59,369,812,864.38/278,609.79
  6. Step 6: Final answer
    x = 213,093.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.