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Finding the Fourth Proportional to 464,906.60, 697,014.30 and 254,781.80

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Solution

The fourth proportional to 464,906.60, 697,014.30 and 254,781.80 is: 381,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,906.60 : 697,014.30 = 254,781.80 : x
  2. Step 2: Convert to fraction form
    464,906.60/697,014.30 = 254,781.80/x
  3. Step 3: Cross multiply
    464,906.60x = 697,014.30 × 254,781.80
  4. Step 4: Simplify right side
    464,906.60x = 177,586,557,979.74
  5. Step 5: Solve for x
    x = 177,586,557,979.74/464,906.60
  6. Step 6: Final answer
    x = 381,983.30

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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.