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Finding the Fourth Proportional to 308,285.11, 461,264.88 and 181,994.05

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Solution

The fourth proportional to 308,285.11, 461,264.88 and 181,994.05 is: 272,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,285.11 : 461,264.88 = 181,994.05 : x
  2. Step 2: Convert to fraction form
    308,285.11/461,264.88 = 181,994.05/x
  3. Step 3: Cross multiply
    308,285.11x = 461,264.88 × 181,994.05
  4. Step 4: Simplify right side
    308,285.11x = 83,947,463,633.96
  5. Step 5: Solve for x
    x = 83,947,463,633.96/308,285.11
  6. Step 6: Final answer
    x = 272,304.63

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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.