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Finding the Fourth Proportional to 293,771, 440,655.42 and 83,408.96

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Solution

The fourth proportional to 293,771, 440,655.42 and 83,408.96 is: 125,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,771 : 440,655.42 = 83,408.96 : x
  2. Step 2: Convert to fraction form
    293,771/440,655.42 = 83,408.96/x
  3. Step 3: Cross multiply
    293,771x = 440,655.42 × 83,408.96
  4. Step 4: Simplify right side
    293,771x = 36,754,610,300.56
  5. Step 5: Solve for x
    x = 36,754,610,300.56/293,771
  6. Step 6: Final answer
    x = 125,113.13

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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.