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Finding the Fourth Proportional to 296,167.58, 408,286.13 and 211,137.02

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Solution

The fourth proportional to 296,167.58, 408,286.13 and 211,137.02 is: 291,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,167.58 : 408,286.13 = 211,137.02 : x
  2. Step 2: Convert to fraction form
    296,167.58/408,286.13 = 211,137.02/x
  3. Step 3: Cross multiply
    296,167.58x = 408,286.13 × 211,137.02
  4. Step 4: Simplify right side
    296,167.58x = 86,204,316,795.53
  5. Step 5: Solve for x
    x = 86,204,316,795.53/296,167.58
  6. Step 6: Final answer
    x = 291,066.01

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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.