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Finding the Fourth Proportional to 397,377.80, 596,722.80 and 264,845.60

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Solution

The fourth proportional to 397,377.80, 596,722.80 and 264,845.60 is: 397,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,377.80 : 596,722.80 = 264,845.60 : x
  2. Step 2: Convert to fraction form
    397,377.80/596,722.80 = 264,845.60/x
  3. Step 3: Cross multiply
    397,377.80x = 596,722.80 × 264,845.60
  4. Step 4: Simplify right side
    397,377.80x = 158,039,407,999.68
  5. Step 5: Solve for x
    x = 158,039,407,999.68/397,377.80
  6. Step 6: Final answer
    x = 397,705.68

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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.