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Finding the Fourth Proportional to 394,214.66, 590,463.14 and 259,126.24

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Solution

The fourth proportional to 394,214.66, 590,463.14 and 259,126.24 is: 388,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,214.66 : 590,463.14 = 259,126.24 : x
  2. Step 2: Convert to fraction form
    394,214.66/590,463.14 = 259,126.24/x
  3. Step 3: Cross multiply
    394,214.66x = 590,463.14 × 259,126.24
  4. Step 4: Simplify right side
    394,214.66x = 153,004,493,326.79
  5. Step 5: Solve for x
    x = 153,004,493,326.79/394,214.66
  6. Step 6: Final answer
    x = 388,124.82

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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.