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Finding the Fourth Proportional to 367,399.68, 507,011.28 and 206,255.04

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Solution

The fourth proportional to 367,399.68, 507,011.28 and 206,255.04 is: 284,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,399.68 : 507,011.28 = 206,255.04 : x
  2. Step 2: Convert to fraction form
    367,399.68/507,011.28 = 206,255.04/x
  3. Step 3: Cross multiply
    367,399.68x = 507,011.28 × 206,255.04
  4. Step 4: Simplify right side
    367,399.68x = 104,573,631,836.85
  5. Step 5: Solve for x
    x = 104,573,631,836.85/367,399.68
  6. Step 6: Final answer
    x = 284,631.80

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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.