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Finding the Fourth Proportional to 466,355.80, 699,015.30 and 256,144.60

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Solution

The fourth proportional to 466,355.80, 699,015.30 and 256,144.60 is: 383,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,355.80 : 699,015.30 = 256,144.60 : x
  2. Step 2: Convert to fraction form
    466,355.80/699,015.30 = 256,144.60/x
  3. Step 3: Cross multiply
    466,355.80x = 699,015.30 × 256,144.60
  4. Step 4: Simplify right side
    466,355.80x = 179,048,994,412.38
  5. Step 5: Solve for x
    x = 179,048,994,412.38/466,355.80
  6. Step 6: Final answer
    x = 383,932.17

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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.