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Finding the Fourth Proportional to 412,304.08, 617,078.08 and 234,763.44

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Solution

The fourth proportional to 412,304.08, 617,078.08 and 234,763.44 is: 351,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,304.08 : 617,078.08 = 234,763.44 : x
  2. Step 2: Convert to fraction form
    412,304.08/617,078.08 = 234,763.44/x
  3. Step 3: Cross multiply
    412,304.08x = 617,078.08 × 234,763.44
  4. Step 4: Simplify right side
    412,304.08x = 144,867,372,809.40
  5. Step 5: Solve for x
    x = 144,867,372,809.40/412,304.08
  6. Step 6: Final answer
    x = 351,360.51

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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.