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Finding the Fourth Proportional to 471,265.62, 706,964.04 and 151,427.04

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Solution

The fourth proportional to 471,265.62, 706,964.04 and 151,427.04 is: 227,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,265.62 : 706,964.04 = 151,427.04 : x
  2. Step 2: Convert to fraction form
    471,265.62/706,964.04 = 151,427.04/x
  3. Step 3: Cross multiply
    471,265.62x = 706,964.04 × 151,427.04
  4. Step 4: Simplify right side
    471,265.62x = 107,053,471,963.64
  5. Step 5: Solve for x
    x = 107,053,471,963.64/471,265.62
  6. Step 6: Final answer
    x = 227,161.64

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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.