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Finding the Fourth Proportional to 443,029.12, 664,310.16 and 193,419.52

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Solution

The fourth proportional to 443,029.12, 664,310.16 and 193,419.52 is: 290,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,029.12 : 664,310.16 = 193,419.52 : x
  2. Step 2: Convert to fraction form
    443,029.12/664,310.16 = 193,419.52/x
  3. Step 3: Cross multiply
    443,029.12x = 664,310.16 × 193,419.52
  4. Step 4: Simplify right side
    443,029.12x = 128,490,552,278.32
  5. Step 5: Solve for x
    x = 128,490,552,278.32/443,029.12
  6. Step 6: Final answer
    x = 290,027.33

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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.