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Finding the Fourth Proportional to 468,407.64, 702,630.89 and 135,983.64

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Solution

The fourth proportional to 468,407.64, 702,630.89 and 135,983.64 is: 203,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407.64 : 702,630.89 = 135,983.64 : x
  2. Step 2: Convert to fraction form
    468,407.64/702,630.89 = 135,983.64/x
  3. Step 3: Cross multiply
    468,407.64x = 702,630.89 × 135,983.64
  4. Step 4: Simplify right side
    468,407.64x = 95,546,305,318.72
  5. Step 5: Solve for x
    x = 95,546,305,318.72/468,407.64
  6. Step 6: Final answer
    x = 203,981.10

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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.