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Finding the Fourth Proportional to 308,081.10, 462,121.65 and 295,833.90

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Solution

The fourth proportional to 308,081.10, 462,121.65 and 295,833.90 is: 443,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,081.10 : 462,121.65 = 295,833.90 : x
  2. Step 2: Convert to fraction form
    308,081.10/462,121.65 = 295,833.90/x
  3. Step 3: Cross multiply
    308,081.10x = 462,121.65 × 295,833.90
  4. Step 4: Simplify right side
    308,081.10x = 136,711,249,993.94
  5. Step 5: Solve for x
    x = 136,711,249,993.94/308,081.10
  6. Step 6: Final answer
    x = 443,750.85

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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.