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Finding the Fourth Proportional to 405,063.86, 607,067.31 and 293,121.14

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Solution

The fourth proportional to 405,063.86, 607,067.31 and 293,121.14 is: 439,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,063.86 : 607,067.31 = 293,121.14 : x
  2. Step 2: Convert to fraction form
    405,063.86/607,067.31 = 293,121.14/x
  3. Step 3: Cross multiply
    405,063.86x = 607,067.31 × 293,121.14
  4. Step 4: Simplify right side
    405,063.86x = 177,944,261,963.93
  5. Step 5: Solve for x
    x = 177,944,261,963.93/405,063.86
  6. Step 6: Final answer
    x = 439,299.28

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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.