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Finding the Fourth Proportional to 540,822.06, 746,399.34 and 314,467.56

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Solution

The fourth proportional to 540,822.06, 746,399.34 and 314,467.56 is: 434,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,822.06 : 746,399.34 = 314,467.56 : x
  2. Step 2: Convert to fraction form
    540,822.06/746,399.34 = 314,467.56/x
  3. Step 3: Cross multiply
    540,822.06x = 746,399.34 × 314,467.56
  4. Step 4: Simplify right side
    540,822.06x = 234,718,379,235.41
  5. Step 5: Solve for x
    x = 234,718,379,235.41/540,822.06
  6. Step 6: Final answer
    x = 434,002.97

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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.