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Finding the Fourth Proportional to 367,751.80, 507,466.38 and 206,594.20

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Solution

The fourth proportional to 367,751.80, 507,466.38 and 206,594.20 is: 285,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,751.80 : 507,466.38 = 206,594.20 : x
  2. Step 2: Convert to fraction form
    367,751.80/507,466.38 = 206,594.20/x
  3. Step 3: Cross multiply
    367,751.80x = 507,466.38 × 206,594.20
  4. Step 4: Simplify right side
    367,751.80x = 104,839,610,803.00
  5. Step 5: Solve for x
    x = 104,839,610,803.00/367,751.80
  6. Step 6: Final answer
    x = 285,082.52

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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.