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Finding the Fourth Proportional to 367,788.92, 507,549.12 and 206,643.84

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Solution

The fourth proportional to 367,788.92, 507,549.12 and 206,643.84 is: 285,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,788.92 : 507,549.12 = 206,643.84 : x
  2. Step 2: Convert to fraction form
    367,788.92/507,549.12 = 206,643.84/x
  3. Step 3: Cross multiply
    367,788.92x = 507,549.12 × 206,643.84
  4. Step 4: Simplify right side
    367,788.92x = 104,881,899,145.42
  5. Step 5: Solve for x
    x = 104,881,899,145.42/367,788.92
  6. Step 6: Final answer
    x = 285,168.73

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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.