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Finding the Fourth Proportional to 596,446.40, 894,410.40 and 196,932.80

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Solution

The fourth proportional to 596,446.40, 894,410.40 and 196,932.80 is: 295,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,446.40 : 894,410.40 = 196,932.80 : x
  2. Step 2: Convert to fraction form
    596,446.40/894,410.40 = 196,932.80/x
  3. Step 3: Cross multiply
    596,446.40x = 894,410.40 × 196,932.80
  4. Step 4: Simplify right side
    596,446.40x = 176,138,744,421.12
  5. Step 5: Solve for x
    x = 176,138,744,421.12/596,446.40
  6. Step 6: Final answer
    x = 295,313.62

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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.