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Finding the Fourth Proportional to 340,767, 511,216.11 and 153,778.50

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Solution

The fourth proportional to 340,767, 511,216.11 and 153,778.50 is: 230,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,767 : 511,216.11 = 153,778.50 : x
  2. Step 2: Convert to fraction form
    340,767/511,216.11 = 153,778.50/x
  3. Step 3: Cross multiply
    340,767x = 511,216.11 × 153,778.50
  4. Step 4: Simplify right side
    340,767x = 78,614,046,571.64
  5. Step 5: Solve for x
    x = 78,614,046,571.64/340,767
  6. Step 6: Final answer
    x = 230,697.36

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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.