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Finding the Fourth Proportional to 308,309.64, 462,149.28 and 174,908.16

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Solution

The fourth proportional to 308,309.64, 462,149.28 and 174,908.16 is: 262,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,309.64 : 462,149.28 = 174,908.16 : x
  2. Step 2: Convert to fraction form
    308,309.64/462,149.28 = 174,908.16/x
  3. Step 3: Cross multiply
    308,309.64x = 462,149.28 × 174,908.16
  4. Step 4: Simplify right side
    308,309.64x = 80,833,680,210.12
  5. Step 5: Solve for x
    x = 80,833,680,210.12/308,309.64
  6. Step 6: Final answer
    x = 262,183.43

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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.