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Finding the Fourth Proportional to 233,245.40, 349,868.10 and 213,891.80

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Solution

The fourth proportional to 233,245.40, 349,868.10 and 213,891.80 is: 320,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,245.40 : 349,868.10 = 213,891.80 : x
  2. Step 2: Convert to fraction form
    233,245.40/349,868.10 = 213,891.80/x
  3. Step 3: Cross multiply
    233,245.40x = 349,868.10 × 213,891.80
  4. Step 4: Simplify right side
    233,245.40x = 74,833,917,671.58
  5. Step 5: Solve for x
    x = 74,833,917,671.58/233,245.40
  6. Step 6: Final answer
    x = 320,837.70

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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.