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Finding the Fourth Proportional to 308,098.70, 462,301.65 and 175,081.10

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Solution

The fourth proportional to 308,098.70, 462,301.65 and 175,081.10 is: 262,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,098.70 : 462,301.65 = 175,081.10 : x
  2. Step 2: Convert to fraction form
    308,098.70/462,301.65 = 175,081.10/x
  3. Step 3: Cross multiply
    308,098.70x = 462,301.65 × 175,081.10
  4. Step 4: Simplify right side
    308,098.70x = 80,940,281,413.82
  5. Step 5: Solve for x
    x = 80,940,281,413.82/308,098.70
  6. Step 6: Final answer
    x = 262,708.94

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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.