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Finding the Fourth Proportional to 407,179.47, 610,773.90 and 122,872.48

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Solution

The fourth proportional to 407,179.47, 610,773.90 and 122,872.48 is: 184,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,179.47 : 610,773.90 = 122,872.48 : x
  2. Step 2: Convert to fraction form
    407,179.47/610,773.90 = 122,872.48/x
  3. Step 3: Cross multiply
    407,179.47x = 610,773.90 × 122,872.48
  4. Step 4: Simplify right side
    407,179.47x = 75,047,304,579.10
  5. Step 5: Solve for x
    x = 75,047,304,579.10/407,179.47
  6. Step 6: Final answer
    x = 184,310.14

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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.