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Finding the Fourth Proportional to 264,509.20, 396,685.92 and 144,428.32

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Solution

The fourth proportional to 264,509.20, 396,685.92 and 144,428.32 is: 216,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,509.20 : 396,685.92 = 144,428.32 : x
  2. Step 2: Convert to fraction form
    264,509.20/396,685.92 = 144,428.32/x
  3. Step 3: Cross multiply
    264,509.20x = 396,685.92 × 144,428.32
  4. Step 4: Simplify right side
    264,509.20x = 57,292,680,993.25
  5. Step 5: Solve for x
    x = 57,292,680,993.25/264,509.20
  6. Step 6: Final answer
    x = 216,599.96

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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.