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Finding the Fourth Proportional to 443,244.78, 664,867.14 and 110,820.78

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Solution

The fourth proportional to 443,244.78, 664,867.14 and 110,820.78 is: 166,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,244.78 : 664,867.14 = 110,820.78 : x
  2. Step 2: Convert to fraction form
    443,244.78/664,867.14 = 110,820.78/x
  3. Step 3: Cross multiply
    443,244.78x = 664,867.14 × 110,820.78
  4. Step 4: Simplify right side
    443,244.78x = 73,681,095,051.17
  5. Step 5: Solve for x
    x = 73,681,095,051.17/443,244.78
  6. Step 6: Final answer
    x = 166,231.16

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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.