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Finding the Fourth Proportional to 367,448.25, 507,065.59 and 206,310.09

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Solution

The fourth proportional to 367,448.25, 507,065.59 and 206,310.09 is: 284,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,448.25 : 507,065.59 = 206,310.09 : x
  2. Step 2: Convert to fraction form
    367,448.25/507,065.59 = 206,310.09/x
  3. Step 3: Cross multiply
    367,448.25x = 507,065.59 × 206,310.09
  4. Step 4: Simplify right side
    367,448.25x = 104,612,748,507.69
  5. Step 5: Solve for x
    x = 104,612,748,507.69/367,448.25
  6. Step 6: Final answer
    x = 284,700.63

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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.