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Finding the Fourth Proportional to 291,800.67, 402,687.99 and 164,476.26

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Solution

The fourth proportional to 291,800.67, 402,687.99 and 164,476.26 is: 226,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,800.67 : 402,687.99 = 164,476.26 : x
  2. Step 2: Convert to fraction form
    291,800.67/402,687.99 = 164,476.26/x
  3. Step 3: Cross multiply
    291,800.67x = 402,687.99 × 164,476.26
  4. Step 4: Simplify right side
    291,800.67x = 66,232,614,542.12
  5. Step 5: Solve for x
    x = 66,232,614,542.12/291,800.67
  6. Step 6: Final answer
    x = 226,978.97

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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.