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Finding the Fourth Proportional to 537,768.40, 806,652.60 and 222,451.60

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Solution

The fourth proportional to 537,768.40, 806,652.60 and 222,451.60 is: 333,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,768.40 : 806,652.60 = 222,451.60 : x
  2. Step 2: Convert to fraction form
    537,768.40/806,652.60 = 222,451.60/x
  3. Step 3: Cross multiply
    537,768.40x = 806,652.60 × 222,451.60
  4. Step 4: Simplify right side
    537,768.40x = 179,441,161,514.16
  5. Step 5: Solve for x
    x = 179,441,161,514.16/537,768.40
  6. Step 6: Final answer
    x = 333,677.40

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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.