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Finding the Fourth Proportional to 393,578.99, 590,638.11 and 137,411.59

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Solution

The fourth proportional to 393,578.99, 590,638.11 and 137,411.59 is: 206,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,578.99 : 590,638.11 = 137,411.59 : x
  2. Step 2: Convert to fraction form
    393,578.99/590,638.11 = 137,411.59/x
  3. Step 3: Cross multiply
    393,578.99x = 590,638.11 × 137,411.59
  4. Step 4: Simplify right side
    393,578.99x = 81,160,521,809.69
  5. Step 5: Solve for x
    x = 81,160,521,809.69/393,578.99
  6. Step 6: Final answer
    x = 206,211.52

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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.