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Finding the Fourth Proportional to 865,433.74, 1,298,206 and 332,954.82

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Solution

The fourth proportional to 865,433.74, 1,298,206 and 332,954.82 is: 499,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,433.74 : 1,298,206 = 332,954.82 : x
  2. Step 2: Convert to fraction form
    865,433.74/1,298,206 = 332,954.82/x
  3. Step 3: Cross multiply
    865,433.74x = 1,298,206 × 332,954.82
  4. Step 4: Simplify right side
    865,433.74x = 432,243,945,052.92
  5. Step 5: Solve for x
    x = 432,243,945,052.92/865,433.74
  6. Step 6: Final answer
    x = 499,453.54

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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.