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Finding the Fourth Proportional to 422,965.97, 583,697.56 and 229,374.05

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Solution

The fourth proportional to 422,965.97, 583,697.56 and 229,374.05 is: 316,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,965.97 : 583,697.56 = 229,374.05 : x
  2. Step 2: Convert to fraction form
    422,965.97/583,697.56 = 229,374.05/x
  3. Step 3: Cross multiply
    422,965.97x = 583,697.56 × 229,374.05
  4. Step 4: Simplify right side
    422,965.97x = 133,885,070,250.47
  5. Step 5: Solve for x
    x = 133,885,070,250.47/422,965.97
  6. Step 6: Final answer
    x = 316,538.63

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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.