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Finding the Fourth Proportional to 262,301.72, 361,344.14 and 208,569.56

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Solution

The fourth proportional to 262,301.72, 361,344.14 and 208,569.56 is: 287,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,301.72 : 361,344.14 = 208,569.56 : x
  2. Step 2: Convert to fraction form
    262,301.72/361,344.14 = 208,569.56/x
  3. Step 3: Cross multiply
    262,301.72x = 361,344.14 × 208,569.56
  4. Step 4: Simplify right side
    262,301.72x = 75,365,388,288.38
  5. Step 5: Solve for x
    x = 75,365,388,288.38/262,301.72
  6. Step 6: Final answer
    x = 287,323.27

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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.