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Finding the Fourth Proportional to 520,115.20, 780,322.25 and 216,450.25

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Solution

The fourth proportional to 520,115.20, 780,322.25 and 216,450.25 is: 324,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,115.20 : 780,322.25 = 216,450.25 : x
  2. Step 2: Convert to fraction form
    520,115.20/780,322.25 = 216,450.25/x
  3. Step 3: Cross multiply
    520,115.20x = 780,322.25 × 216,450.25
  4. Step 4: Simplify right side
    520,115.20x = 168,900,946,093.06
  5. Step 5: Solve for x
    x = 168,900,946,093.06/520,115.20
  6. Step 6: Final answer
    x = 324,737.57

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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.