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Finding the Fourth Proportional to 297,781.55, 446,576.34 and 98,054.39

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Solution

The fourth proportional to 297,781.55, 446,576.34 and 98,054.39 is: 147,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,781.55 : 446,576.34 = 98,054.39 : x
  2. Step 2: Convert to fraction form
    297,781.55/446,576.34 = 98,054.39/x
  3. Step 3: Cross multiply
    297,781.55x = 446,576.34 × 98,054.39
  4. Step 4: Simplify right side
    297,781.55x = 43,788,768,374.25
  5. Step 5: Solve for x
    x = 43,788,768,374.25/297,781.55
  6. Step 6: Final answer
    x = 147,049.97

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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.