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Finding the Fourth Proportional to 513,965.15, 709,280.30 and 281,388.20

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Solution

The fourth proportional to 513,965.15, 709,280.30 and 281,388.20 is: 388,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,965.15 : 709,280.30 = 281,388.20 : x
  2. Step 2: Convert to fraction form
    513,965.15/709,280.30 = 281,388.20/x
  3. Step 3: Cross multiply
    513,965.15x = 709,280.30 × 281,388.20
  4. Step 4: Simplify right side
    513,965.15x = 199,583,106,912.46
  5. Step 5: Solve for x
    x = 199,583,106,912.46/513,965.15
  6. Step 6: Final answer
    x = 388,320.31

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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.