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Finding the Fourth Proportional to 783,364, 1,175,043.12 and 222,398.56

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Solution

The fourth proportional to 783,364, 1,175,043.12 and 222,398.56 is: 333,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,364 : 1,175,043.12 = 222,398.56 : x
  2. Step 2: Convert to fraction form
    783,364/1,175,043.12 = 222,398.56/x
  3. Step 3: Cross multiply
    783,364x = 1,175,043.12 × 222,398.56
  4. Step 4: Simplify right side
    783,364x = 261,327,897,825.91
  5. Step 5: Solve for x
    x = 261,327,897,825.91/783,364
  6. Step 6: Final answer
    x = 333,597.02

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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.