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Finding the Fourth Proportional to 827,138.40, 1,240,707.60 and 407,234.40

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Solution

The fourth proportional to 827,138.40, 1,240,707.60 and 407,234.40 is: 610,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,138.40 : 1,240,707.60 = 407,234.40 : x
  2. Step 2: Convert to fraction form
    827,138.40/1,240,707.60 = 407,234.40/x
  3. Step 3: Cross multiply
    827,138.40x = 1,240,707.60 × 407,234.40
  4. Step 4: Simplify right side
    827,138.40x = 505,258,815,061.44
  5. Step 5: Solve for x
    x = 505,258,815,061.44/827,138.40
  6. Step 6: Final answer
    x = 610,851.60

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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.