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Finding the Fourth Proportional to 467,442.80, 700,924 and 214,505.52

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Solution

The fourth proportional to 467,442.80, 700,924 and 214,505.52 is: 321,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,442.80 : 700,924 = 214,505.52 : x
  2. Step 2: Convert to fraction form
    467,442.80/700,924 = 214,505.52/x
  3. Step 3: Cross multiply
    467,442.80x = 700,924 × 214,505.52
  4. Step 4: Simplify right side
    467,442.80x = 150,352,067,100.48
  5. Step 5: Solve for x
    x = 150,352,067,100.48/467,442.80
  6. Step 6: Final answer
    x = 321,648.05

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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.