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Finding the Fourth Proportional to 502,853.15, 693,940.16 and 273,412.69

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Solution

The fourth proportional to 502,853.15, 693,940.16 and 273,412.69 is: 377,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,853.15 : 693,940.16 = 273,412.69 : x
  2. Step 2: Convert to fraction form
    502,853.15/693,940.16 = 273,412.69/x
  3. Step 3: Cross multiply
    502,853.15x = 693,940.16 × 273,412.69
  4. Step 4: Simplify right side
    502,853.15x = 189,732,044,793.31
  5. Step 5: Solve for x
    x = 189,732,044,793.31/502,853.15
  6. Step 6: Final answer
    x = 377,311.04

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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.