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Finding the Fourth Proportional to 422,088.90, 582,459.54 and 231,065.34

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Solution

The fourth proportional to 422,088.90, 582,459.54 and 231,065.34 is: 318,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,088.90 : 582,459.54 = 231,065.34 : x
  2. Step 2: Convert to fraction form
    422,088.90/582,459.54 = 231,065.34/x
  3. Step 3: Cross multiply
    422,088.90x = 582,459.54 × 231,065.34
  4. Step 4: Simplify right side
    422,088.90x = 134,586,211,646.34
  5. Step 5: Solve for x
    x = 134,586,211,646.34/422,088.90
  6. Step 6: Final answer
    x = 318,857.50

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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.