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Finding the Fourth Proportional to 467,023.88, 700,640.62 and 142,840.32

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Solution

The fourth proportional to 467,023.88, 700,640.62 and 142,840.32 is: 214,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,023.88 : 700,640.62 = 142,840.32 : x
  2. Step 2: Convert to fraction form
    467,023.88/700,640.62 = 142,840.32/x
  3. Step 3: Cross multiply
    467,023.88x = 700,640.62 × 142,840.32
  4. Step 4: Simplify right side
    467,023.88x = 100,079,730,365.80
  5. Step 5: Solve for x
    x = 100,079,730,365.80/467,023.88
  6. Step 6: Final answer
    x = 214,292.53

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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.