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Finding the Fourth Proportional to 291,494.12, 402,267.13 and 164,174.27

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Solution

The fourth proportional to 291,494.12, 402,267.13 and 164,174.27 is: 226,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,494.12 : 402,267.13 = 164,174.27 : x
  2. Step 2: Convert to fraction form
    291,494.12/402,267.13 = 164,174.27/x
  3. Step 3: Cross multiply
    291,494.12x = 402,267.13 × 164,174.27
  4. Step 4: Simplify right side
    291,494.12x = 66,041,909,990.97
  5. Step 5: Solve for x
    x = 66,041,909,990.97/291,494.12
  6. Step 6: Final answer
    x = 226,563.44

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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.