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Finding the Fourth Proportional to 614,007.24, 921,109.41 and 259,073.52

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Solution

The fourth proportional to 614,007.24, 921,109.41 and 259,073.52 is: 388,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,007.24 : 921,109.41 = 259,073.52 : x
  2. Step 2: Convert to fraction form
    614,007.24/921,109.41 = 259,073.52/x
  3. Step 3: Cross multiply
    614,007.24x = 921,109.41 × 259,073.52
  4. Step 4: Simplify right side
    614,007.24x = 238,635,057,153.82
  5. Step 5: Solve for x
    x = 238,635,057,153.82/614,007.24
  6. Step 6: Final answer
    x = 388,651.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.