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Finding the Fourth Proportional to 259,560, 357,868.26 and 216,601.38

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Solution

The fourth proportional to 259,560, 357,868.26 and 216,601.38 is: 298,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,560 : 357,868.26 = 216,601.38 : x
  2. Step 2: Convert to fraction form
    259,560/357,868.26 = 216,601.38/x
  3. Step 3: Cross multiply
    259,560x = 357,868.26 × 216,601.38
  4. Step 4: Simplify right side
    259,560x = 77,514,758,974.20
  5. Step 5: Solve for x
    x = 77,514,758,974.20/259,560
  6. Step 6: Final answer
    x = 298,639.08

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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.