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Finding the Fourth Proportional to 596,604.92, 894,717.02 and 197,171.24

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Solution

The fourth proportional to 596,604.92, 894,717.02 and 197,171.24 is: 295,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,604.92 : 894,717.02 = 197,171.24 : x
  2. Step 2: Convert to fraction form
    596,604.92/894,717.02 = 197,171.24/x
  3. Step 3: Cross multiply
    596,604.92x = 894,717.02 × 197,171.24
  4. Step 4: Simplify right side
    596,604.92x = 176,412,460,301.85
  5. Step 5: Solve for x
    x = 176,412,460,301.85/596,604.92
  6. Step 6: Final answer
    x = 295,693.94

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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.