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Finding the Fourth Proportional to 407,464.38, 562,305.75 and 226,179.90

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Solution

The fourth proportional to 407,464.38, 562,305.75 and 226,179.90 is: 312,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,464.38 : 562,305.75 = 226,179.90 : x
  2. Step 2: Convert to fraction form
    407,464.38/562,305.75 = 226,179.90/x
  3. Step 3: Cross multiply
    407,464.38x = 562,305.75 × 226,179.90
  4. Step 4: Simplify right side
    407,464.38x = 127,182,258,304.43
  5. Step 5: Solve for x
    x = 127,182,258,304.43/407,464.38
  6. Step 6: Final answer
    x = 312,130.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.