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Finding the Fourth Proportional to 467,459.60, 700,635.65 and 214,526.97

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Solution

The fourth proportional to 467,459.60, 700,635.65 and 214,526.97 is: 321,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,459.60 : 700,635.65 = 214,526.97 : x
  2. Step 2: Convert to fraction form
    467,459.60/700,635.65 = 214,526.97/x
  3. Step 3: Cross multiply
    467,459.60x = 700,635.65 × 214,526.97
  4. Step 4: Simplify right side
    467,459.60x = 150,305,241,995.85
  5. Step 5: Solve for x
    x = 150,305,241,995.85/467,459.60
  6. Step 6: Final answer
    x = 321,536.33

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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.