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Finding the Fourth Proportional to 401,007.68, 601,469.13 and 211,392.08

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Solution

The fourth proportional to 401,007.68, 601,469.13 and 211,392.08 is: 317,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,007.68 : 601,469.13 = 211,392.08 : x
  2. Step 2: Convert to fraction form
    401,007.68/601,469.13 = 211,392.08/x
  3. Step 3: Cross multiply
    401,007.68x = 601,469.13 × 211,392.08
  4. Step 4: Simplify right side
    401,007.68x = 127,145,810,446.49
  5. Step 5: Solve for x
    x = 127,145,810,446.49/401,007.68
  6. Step 6: Final answer
    x = 317,065.77

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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.