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Finding the Fourth Proportional to 464,992.86, 697,795.48 and 254,778.42

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Solution

The fourth proportional to 464,992.86, 697,795.48 and 254,778.42 is: 382,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,992.86 : 697,795.48 = 254,778.42 : x
  2. Step 2: Convert to fraction form
    464,992.86/697,795.48 = 254,778.42/x
  3. Step 3: Cross multiply
    464,992.86x = 697,795.48 × 254,778.42
  4. Step 4: Simplify right side
    464,992.86x = 177,783,229,877.54
  5. Step 5: Solve for x
    x = 177,783,229,877.54/464,992.86
  6. Step 6: Final answer
    x = 382,335.40

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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.