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Finding the Fourth Proportional to 422,000.10, 582,360.08 and 228,407.77

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Solution

The fourth proportional to 422,000.10, 582,360.08 and 228,407.77 is: 315,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,000.10 : 582,360.08 = 228,407.77 : x
  2. Step 2: Convert to fraction form
    422,000.10/582,360.08 = 228,407.77/x
  3. Step 3: Cross multiply
    422,000.10x = 582,360.08 × 228,407.77
  4. Step 4: Simplify right side
    422,000.10x = 133,015,567,209.82
  5. Step 5: Solve for x
    x = 133,015,567,209.82/422,000.10
  6. Step 6: Final answer
    x = 315,202.69

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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.