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Finding the Fourth Proportional to 233,418.95, 349,851.60 and 209,614.80

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Solution

The fourth proportional to 233,418.95, 349,851.60 and 209,614.80 is: 314,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,418.95 : 349,851.60 = 209,614.80 : x
  2. Step 2: Convert to fraction form
    233,418.95/349,851.60 = 209,614.80/x
  3. Step 3: Cross multiply
    233,418.95x = 349,851.60 × 209,614.80
  4. Step 4: Simplify right side
    233,418.95x = 73,334,073,163.68
  5. Step 5: Solve for x
    x = 73,334,073,163.68/233,418.95
  6. Step 6: Final answer
    x = 314,173.61

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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.