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Finding the Fourth Proportional to 464,347.92, 696,404.82 and 179,940.72

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Solution

The fourth proportional to 464,347.92, 696,404.82 and 179,940.72 is: 269,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,347.92 : 696,404.82 = 179,940.72 : x
  2. Step 2: Convert to fraction form
    464,347.92/696,404.82 = 179,940.72/x
  3. Step 3: Cross multiply
    464,347.92x = 696,404.82 × 179,940.72
  4. Step 4: Simplify right side
    464,347.92x = 125,311,584,722.27
  5. Step 5: Solve for x
    x = 125,311,584,722.27/464,347.92
  6. Step 6: Final answer
    x = 269,865.72

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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.