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Finding the Fourth Proportional to 493,335.78, 680,805.45 and 278,478.42

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Solution

The fourth proportional to 493,335.78, 680,805.45 and 278,478.42 is: 384,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,335.78 : 680,805.45 = 278,478.42 : x
  2. Step 2: Convert to fraction form
    493,335.78/680,805.45 = 278,478.42/x
  3. Step 3: Cross multiply
    493,335.78x = 680,805.45 × 278,478.42
  4. Step 4: Simplify right side
    493,335.78x = 189,589,626,043.39
  5. Step 5: Solve for x
    x = 189,589,626,043.39/493,335.78
  6. Step 6: Final answer
    x = 384,301.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.