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Finding the Fourth Proportional to 283,694.00, 391,493.04 and 156,381.44

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Solution

The fourth proportional to 283,694.00, 391,493.04 and 156,381.44 is: 215,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,694.00 : 391,493.04 = 156,381.44 : x
  2. Step 2: Convert to fraction form
    283,694.00/391,493.04 = 156,381.44/x
  3. Step 3: Cross multiply
    283,694.00x = 391,493.04 × 156,381.44
  4. Step 4: Simplify right side
    283,694.00x = 61,222,243,387.71
  5. Step 5: Solve for x
    x = 61,222,243,387.71/283,694.00
  6. Step 6: Final answer
    x = 215,803.80

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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.