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Finding the Fourth Proportional to 489,853.40, 733,872.90 and 278,864.60

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Solution

The fourth proportional to 489,853.40, 733,872.90 and 278,864.60 is: 417,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,853.40 : 733,872.90 = 278,864.60 : x
  2. Step 2: Convert to fraction form
    489,853.40/733,872.90 = 278,864.60/x
  3. Step 3: Cross multiply
    489,853.40x = 733,872.90 × 278,864.60
  4. Step 4: Simplify right side
    489,853.40x = 204,651,172,709.34
  5. Step 5: Solve for x
    x = 204,651,172,709.34/489,853.40
  6. Step 6: Final answer
    x = 417,780.45

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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.