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Finding the Fourth Proportional to 298,851.96, 448,265.43 and 74,207.55

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Solution

The fourth proportional to 298,851.96, 448,265.43 and 74,207.55 is: 111,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,851.96 : 448,265.43 = 74,207.55 : x
  2. Step 2: Convert to fraction form
    298,851.96/448,265.43 = 74,207.55/x
  3. Step 3: Cross multiply
    298,851.96x = 448,265.43 × 74,207.55
  4. Step 4: Simplify right side
    298,851.96x = 33,264,679,310.00
  5. Step 5: Solve for x
    x = 33,264,679,310.00/298,851.96
  6. Step 6: Final answer
    x = 111,308.22

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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.