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Finding the Fourth Proportional to 367,707.94, 507,438.93 and 206,569.78

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Solution

The fourth proportional to 367,707.94, 507,438.93 and 206,569.78 is: 285,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,707.94 : 507,438.93 = 206,569.78 : x
  2. Step 2: Convert to fraction form
    367,707.94/507,438.93 = 206,569.78/x
  3. Step 3: Cross multiply
    367,707.94x = 507,438.93 × 206,569.78
  4. Step 4: Simplify right side
    367,707.94x = 104,821,548,133.54
  5. Step 5: Solve for x
    x = 104,821,548,133.54/367,707.94
  6. Step 6: Final answer
    x = 285,067.40

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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.