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Finding the Fourth Proportional to 345,544.50, 476,852.22 and 194,641.50

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Solution

The fourth proportional to 345,544.50, 476,852.22 and 194,641.50 is: 268,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,544.50 : 476,852.22 = 194,641.50 : x
  2. Step 2: Convert to fraction form
    345,544.50/476,852.22 = 194,641.50/x
  3. Step 3: Cross multiply
    345,544.50x = 476,852.22 × 194,641.50
  4. Step 4: Simplify right side
    345,544.50x = 92,815,231,379.13
  5. Step 5: Solve for x
    x = 92,815,231,379.13/345,544.50
  6. Step 6: Final answer
    x = 268,605.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.