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Finding the Fourth Proportional to 367,400.58, 507,042.09 and 206,266.20

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Solution

The fourth proportional to 367,400.58, 507,042.09 and 206,266.20 is: 284,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,400.58 : 507,042.09 = 206,266.20 : x
  2. Step 2: Convert to fraction form
    367,400.58/507,042.09 = 206,266.20/x
  3. Step 3: Cross multiply
    367,400.58x = 507,042.09 × 206,266.20
  4. Step 4: Simplify right side
    367,400.58x = 104,585,645,144.36
  5. Step 5: Solve for x
    x = 104,585,645,144.36/367,400.58
  6. Step 6: Final answer
    x = 284,663.80

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1.5x scale

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.