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Finding the Fourth Proportional to 464,230.78, 696,451.16 and 164,711.68

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Solution

The fourth proportional to 464,230.78, 696,451.16 and 164,711.68 is: 247,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,230.78 : 696,451.16 = 164,711.68 : x
  2. Step 2: Convert to fraction form
    464,230.78/696,451.16 = 164,711.68/x
  3. Step 3: Cross multiply
    464,230.78x = 696,451.16 × 164,711.68
  4. Step 4: Simplify right side
    464,230.78x = 114,713,639,272.20
  5. Step 5: Solve for x
    x = 114,713,639,272.20/464,230.78
  6. Step 6: Final answer
    x = 247,104.77

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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.