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Finding the Fourth Proportional to 308,293.16, 462,124.49 and 174,891.60

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Solution

The fourth proportional to 308,293.16, 462,124.49 and 174,891.60 is: 262,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,293.16 : 462,124.49 = 174,891.60 : x
  2. Step 2: Convert to fraction form
    308,293.16/462,124.49 = 174,891.60/x
  3. Step 3: Cross multiply
    308,293.16x = 462,124.49 × 174,891.60
  4. Step 4: Simplify right side
    308,293.16x = 80,821,690,580.83
  5. Step 5: Solve for x
    x = 80,821,690,580.83/308,293.16
  6. Step 6: Final answer
    x = 262,158.56

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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.