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Finding the Fourth Proportional to 308,228.32, 462,476.04 and 108,691.28

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Solution

The fourth proportional to 308,228.32, 462,476.04 and 108,691.28 is: 163,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,228.32 : 462,476.04 = 108,691.28 : x
  2. Step 2: Convert to fraction form
    308,228.32/462,476.04 = 108,691.28/x
  3. Step 3: Cross multiply
    308,228.32x = 462,476.04 × 108,691.28
  4. Step 4: Simplify right side
    308,228.32x = 50,267,112,756.93
  5. Step 5: Solve for x
    x = 50,267,112,756.93/308,228.32
  6. Step 6: Final answer
    x = 163,084.02

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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.