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Finding the Fourth Proportional to 422,851.20, 634,276.80 and 416,630.40

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Solution

The fourth proportional to 422,851.20, 634,276.80 and 416,630.40 is: 624,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,851.20 : 634,276.80 = 416,630.40 : x
  2. Step 2: Convert to fraction form
    422,851.20/634,276.80 = 416,630.40/x
  3. Step 3: Cross multiply
    422,851.20x = 634,276.80 × 416,630.40
  4. Step 4: Simplify right side
    422,851.20x = 264,258,996,894.72
  5. Step 5: Solve for x
    x = 264,258,996,894.72/422,851.20
  6. Step 6: Final answer
    x = 624,945.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.