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Finding the Fourth Proportional to 233,226.40, 349,839.60 and 213,872.80

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Solution

The fourth proportional to 233,226.40, 349,839.60 and 213,872.80 is: 320,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,226.40 : 349,839.60 = 213,872.80 : x
  2. Step 2: Convert to fraction form
    233,226.40/349,839.60 = 213,872.80/x
  3. Step 3: Cross multiply
    233,226.40x = 349,839.60 × 213,872.80
  4. Step 4: Simplify right side
    233,226.40x = 74,821,174,802.88
  5. Step 5: Solve for x
    x = 74,821,174,802.88/233,226.40
  6. Step 6: Final answer
    x = 320,809.20

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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.