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Finding the Fourth Proportional to 399,041.07, 598,571.94 and 114,720.14

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Solution

The fourth proportional to 399,041.07, 598,571.94 and 114,720.14 is: 172,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,041.07 : 598,571.94 = 114,720.14 : x
  2. Step 2: Convert to fraction form
    399,041.07/598,571.94 = 114,720.14/x
  3. Step 3: Cross multiply
    399,041.07x = 598,571.94 × 114,720.14
  4. Step 4: Simplify right side
    399,041.07x = 68,668,256,756.87
  5. Step 5: Solve for x
    x = 68,668,256,756.87/399,041.07
  6. Step 6: Final answer
    x = 172,083.18

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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.