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Finding the Fourth Proportional to 861,509.82, 1,292,353.13 and 329,478.33

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Solution

The fourth proportional to 861,509.82, 1,292,353.13 and 329,478.33 is: 494,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,509.82 : 1,292,353.13 = 329,478.33 : x
  2. Step 2: Convert to fraction form
    861,509.82/1,292,353.13 = 329,478.33/x
  3. Step 3: Cross multiply
    861,509.82x = 1,292,353.13 × 329,478.33
  4. Step 4: Simplify right side
    861,509.82x = 425,802,354,859.38
  5. Step 5: Solve for x
    x = 425,802,354,859.38/861,509.82
  6. Step 6: Final answer
    x = 494,251.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.