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Finding the Fourth Proportional to 426,171.93, 588,338.37 and 311,321.64

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Solution

The fourth proportional to 426,171.93, 588,338.37 and 311,321.64 is: 429,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,171.93 : 588,338.37 = 311,321.64 : x
  2. Step 2: Convert to fraction form
    426,171.93/588,338.37 = 311,321.64/x
  3. Step 3: Cross multiply
    426,171.93x = 588,338.37 × 311,321.64
  4. Step 4: Simplify right side
    426,171.93x = 183,162,466,223.33
  5. Step 5: Solve for x
    x = 183,162,466,223.33/426,171.93
  6. Step 6: Final answer
    x = 429,785.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.