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Finding the Fourth Proportional to 464,662.50, 696,580.65 and 165,103.44

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Solution

The fourth proportional to 464,662.50, 696,580.65 and 165,103.44 is: 247,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,662.50 : 696,580.65 = 165,103.44 : x
  2. Step 2: Convert to fraction form
    464,662.50/696,580.65 = 165,103.44/x
  3. Step 3: Cross multiply
    464,662.50x = 696,580.65 × 165,103.44
  4. Step 4: Simplify right side
    464,662.50x = 115,007,861,552.44
  5. Step 5: Solve for x
    x = 115,007,861,552.44/464,662.50
  6. Step 6: Final answer
    x = 247,508.38

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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.