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Finding the Fourth Proportional to 422,664.89, 583,284.59 and 229,078.78

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Solution

The fourth proportional to 422,664.89, 583,284.59 and 229,078.78 is: 316,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,664.89 : 583,284.59 = 229,078.78 : x
  2. Step 2: Convert to fraction form
    422,664.89/583,284.59 = 229,078.78/x
  3. Step 3: Cross multiply
    422,664.89x = 583,284.59 × 229,078.78
  4. Step 4: Simplify right side
    422,664.89x = 133,618,125,094.98
  5. Step 5: Solve for x
    x = 133,618,125,094.98/422,664.89
  6. Step 6: Final answer
    x = 316,132.54

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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.