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Finding the Fourth Proportional to 314,867.62, 472,334.73 and 115,205.86

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Solution

The fourth proportional to 314,867.62, 472,334.73 and 115,205.86 is: 172,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,867.62 : 472,334.73 = 115,205.86 : x
  2. Step 2: Convert to fraction form
    314,867.62/472,334.73 = 115,205.86/x
  3. Step 3: Cross multiply
    314,867.62x = 472,334.73 × 115,205.86
  4. Step 4: Simplify right side
    314,867.62x = 54,415,728,777.52
  5. Step 5: Solve for x
    x = 54,415,728,777.52/314,867.62
  6. Step 6: Final answer
    x = 172,820.97

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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.