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Finding the Fourth Proportional to 596,354.40, 894,533.76 and 222,372

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Solution

The fourth proportional to 596,354.40, 894,533.76 and 222,372 is: 333,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,354.40 : 894,533.76 = 222,372 : x
  2. Step 2: Convert to fraction form
    596,354.40/894,533.76 = 222,372/x
  3. Step 3: Cross multiply
    596,354.40x = 894,533.76 × 222,372
  4. Step 4: Simplify right side
    596,354.40x = 198,919,261,278.72
  5. Step 5: Solve for x
    x = 198,919,261,278.72/596,354.40
  6. Step 6: Final answer
    x = 333,558.81

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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.