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Finding the Fourth Proportional to 469,594.92, 704,379.78 and 132,658.80

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Solution

The fourth proportional to 469,594.92, 704,379.78 and 132,658.80 is: 198,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,594.92 : 704,379.78 = 132,658.80 : x
  2. Step 2: Convert to fraction form
    469,594.92/704,379.78 = 132,658.80/x
  3. Step 3: Cross multiply
    469,594.92x = 704,379.78 × 132,658.80
  4. Step 4: Simplify right side
    469,594.92x = 93,442,176,359.06
  5. Step 5: Solve for x
    x = 93,442,176,359.06/469,594.92
  6. Step 6: Final answer
    x = 198,984.64

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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.