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Finding the Fourth Proportional to 667,782.48, 1,001,659.11 and 162,346.12

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Solution

The fourth proportional to 667,782.48, 1,001,659.11 and 162,346.12 is: 243,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,782.48 : 1,001,659.11 = 162,346.12 : x
  2. Step 2: Convert to fraction form
    667,782.48/1,001,659.11 = 162,346.12/x
  3. Step 3: Cross multiply
    667,782.48x = 1,001,659.11 × 162,346.12
  4. Step 4: Simplify right side
    667,782.48x = 162,615,470,071.15
  5. Step 5: Solve for x
    x = 162,615,470,071.15/667,782.48
  6. Step 6: Final answer
    x = 243,515.63

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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.