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Finding the Fourth Proportional to 307,383.24, 424,191.30 and 171,426

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Solution

The fourth proportional to 307,383.24, 424,191.30 and 171,426 is: 236,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,383.24 : 424,191.30 = 171,426 : x
  2. Step 2: Convert to fraction form
    307,383.24/424,191.30 = 171,426/x
  3. Step 3: Cross multiply
    307,383.24x = 424,191.30 × 171,426
  4. Step 4: Simplify right side
    307,383.24x = 72,717,417,793.80
  5. Step 5: Solve for x
    x = 72,717,417,793.80/307,383.24
  6. Step 6: Final answer
    x = 236,569.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.