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Finding the Fourth Proportional to 367,480.80, 507,092.40 and 206,323.20

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Solution

The fourth proportional to 367,480.80, 507,092.40 and 206,323.20 is: 284,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,480.80 : 507,092.40 = 206,323.20 : x
  2. Step 2: Convert to fraction form
    367,480.80/507,092.40 = 206,323.20/x
  3. Step 3: Cross multiply
    367,480.80x = 507,092.40 × 206,323.20
  4. Step 4: Simplify right side
    367,480.80x = 104,624,926,663.68
  5. Step 5: Solve for x
    x = 104,624,926,663.68/367,480.80
  6. Step 6: Final answer
    x = 284,708.55

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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.