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Finding the Fourth Proportional to 492,853.71, 680,145.96 and 277,998.05

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Solution

The fourth proportional to 492,853.71, 680,145.96 and 277,998.05 is: 383,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,853.71 : 680,145.96 = 277,998.05 : x
  2. Step 2: Convert to fraction form
    492,853.71/680,145.96 = 277,998.05/x
  3. Step 3: Cross multiply
    492,853.71x = 680,145.96 × 277,998.05
  4. Step 4: Simplify right side
    492,853.71x = 189,079,250,595.38
  5. Step 5: Solve for x
    x = 189,079,250,595.38/492,853.71
  6. Step 6: Final answer
    x = 383,641.73

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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.