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Finding the Fourth Proportional to 290,634.01, 401,023.61 and 177,493.21

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Solution

The fourth proportional to 290,634.01, 401,023.61 and 177,493.21 is: 244,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,634.01 : 401,023.61 = 177,493.21 : x
  2. Step 2: Convert to fraction form
    290,634.01/401,023.61 = 177,493.21/x
  3. Step 3: Cross multiply
    290,634.01x = 401,023.61 × 177,493.21
  4. Step 4: Simplify right side
    290,634.01x = 71,178,966,600.26
  5. Step 5: Solve for x
    x = 71,178,966,600.26/290,634.01
  6. Step 6: Final answer
    x = 244,909.28

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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.