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Finding the Fourth Proportional to 308,350.29, 462,314.94 and 164,277.66

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Solution

The fourth proportional to 308,350.29, 462,314.94 and 164,277.66 is: 246,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,350.29 : 462,314.94 = 164,277.66 : x
  2. Step 2: Convert to fraction form
    308,350.29/462,314.94 = 164,277.66/x
  3. Step 3: Cross multiply
    308,350.29x = 462,314.94 × 164,277.66
  4. Step 4: Simplify right side
    308,350.29x = 75,948,016,526.24
  5. Step 5: Solve for x
    x = 75,948,016,526.24/308,350.29
  6. Step 6: Final answer
    x = 246,304.35

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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.