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Finding the Fourth Proportional to 315,042.90, 472,563.36 and 78,385.56

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Solution

The fourth proportional to 315,042.90, 472,563.36 and 78,385.56 is: 117,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,042.90 : 472,563.36 = 78,385.56 : x
  2. Step 2: Convert to fraction form
    315,042.90/472,563.36 = 78,385.56/x
  3. Step 3: Cross multiply
    315,042.90x = 472,563.36 × 78,385.56
  4. Step 4: Simplify right side
    315,042.90x = 37,042,143,609.08
  5. Step 5: Solve for x
    x = 37,042,143,609.08/315,042.90
  6. Step 6: Final answer
    x = 117,578.09

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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.