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Finding the Fourth Proportional to 329,006.44, 493,509.66 and 188,854.12

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Solution

The fourth proportional to 329,006.44, 493,509.66 and 188,854.12 is: 283,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,006.44 : 493,509.66 = 188,854.12 : x
  2. Step 2: Convert to fraction form
    329,006.44/493,509.66 = 188,854.12/x
  3. Step 3: Cross multiply
    329,006.44x = 493,509.66 × 188,854.12
  4. Step 4: Simplify right side
    329,006.44x = 93,201,332,550.80
  5. Step 5: Solve for x
    x = 93,201,332,550.80/329,006.44
  6. Step 6: Final answer
    x = 283,281.18

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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.