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Finding the Fourth Proportional to 502,633.78, 693,641.65 and 273,191

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Solution

The fourth proportional to 502,633.78, 693,641.65 and 273,191 is: 377,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,633.78 : 693,641.65 = 273,191 : x
  2. Step 2: Convert to fraction form
    502,633.78/693,641.65 = 273,191/x
  3. Step 3: Cross multiply
    502,633.78x = 693,641.65 × 273,191
  4. Step 4: Simplify right side
    502,633.78x = 189,496,656,005.15
  5. Step 5: Solve for x
    x = 189,496,656,005.15/502,633.78
  6. Step 6: Final answer
    x = 377,007.40

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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.