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Finding the Fourth Proportional to 293,773, 440,658.42 and 83,410.96

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Solution

The fourth proportional to 293,773, 440,658.42 and 83,410.96 is: 125,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,773 : 440,658.42 = 83,410.96 : x
  2. Step 2: Convert to fraction form
    293,773/440,658.42 = 83,410.96/x
  3. Step 3: Cross multiply
    293,773x = 440,658.42 × 83,410.96
  4. Step 4: Simplify right side
    293,773x = 36,755,741,844.28
  5. Step 5: Solve for x
    x = 36,755,741,844.28/293,773
  6. Step 6: Final answer
    x = 125,116.13

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Why These Related Problems?

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