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Finding the Fourth Proportional to 283,728.74, 391,573.28 and 211,984.21

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Solution

The fourth proportional to 283,728.74, 391,573.28 and 211,984.21 is: 292,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,728.74 : 391,573.28 = 211,984.21 : x
  2. Step 2: Convert to fraction form
    283,728.74/391,573.28 = 211,984.21/x
  3. Step 3: Cross multiply
    283,728.74x = 391,573.28 × 211,984.21
  4. Step 4: Simplify right side
    283,728.74x = 83,007,349,400.12
  5. Step 5: Solve for x
    x = 83,007,349,400.12/283,728.74
  6. Step 6: Final answer
    x = 292,558.83

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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.