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Finding the Fourth Proportional to 467,575.80, 700,845.30 and 257,364.60

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Solution

The fourth proportional to 467,575.80, 700,845.30 and 257,364.60 is: 385,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,575.80 : 700,845.30 = 257,364.60 : x
  2. Step 2: Convert to fraction form
    467,575.80/700,845.30 = 257,364.60/x
  3. Step 3: Cross multiply
    467,575.80x = 700,845.30 × 257,364.60
  4. Step 4: Simplify right side
    467,575.80x = 180,372,770,296.38
  5. Step 5: Solve for x
    x = 180,372,770,296.38/467,575.80
  6. Step 6: Final answer
    x = 385,761.56

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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.