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Finding the Fourth Proportional to 416,733, 625,434.66 and 217,113

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Solution

The fourth proportional to 416,733, 625,434.66 and 217,113 is: 325,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,733 : 625,434.66 = 217,113 : x
  2. Step 2: Convert to fraction form
    416,733/625,434.66 = 217,113/x
  3. Step 3: Cross multiply
    416,733x = 625,434.66 × 217,113
  4. Step 4: Simplify right side
    416,733x = 135,789,995,336.58
  5. Step 5: Solve for x
    x = 135,789,995,336.58/416,733
  6. Step 6: Final answer
    x = 325,844.11

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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.