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Finding the Fourth Proportional to 314,617.32, 471,640.78 and 156,894.12

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Solution

The fourth proportional to 314,617.32, 471,640.78 and 156,894.12 is: 235,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,617.32 : 471,640.78 = 156,894.12 : x
  2. Step 2: Convert to fraction form
    314,617.32/471,640.78 = 156,894.12/x
  3. Step 3: Cross multiply
    314,617.32x = 471,640.78 × 156,894.12
  4. Step 4: Simplify right side
    314,617.32x = 73,997,665,134.21
  5. Step 5: Solve for x
    x = 73,997,665,134.21/314,617.32
  6. Step 6: Final answer
    x = 235,198.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.