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Finding the Fourth Proportional to 314,891.76, 472,520.54 and 132,509.12

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Solution

The fourth proportional to 314,891.76, 472,520.54 and 132,509.12 is: 198,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,891.76 : 472,520.54 = 132,509.12 : x
  2. Step 2: Convert to fraction form
    314,891.76/472,520.54 = 132,509.12/x
  3. Step 3: Cross multiply
    314,891.76x = 472,520.54 × 132,509.12
  4. Step 4: Simplify right side
    314,891.76x = 62,613,277,912.18
  5. Step 5: Solve for x
    x = 62,613,277,912.18/314,891.76
  6. Step 6: Final answer
    x = 198,840.64

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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.