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Finding the Fourth Proportional to 297,627.75, 446,506.29 and 97,968.42

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Solution

The fourth proportional to 297,627.75, 446,506.29 and 97,968.42 is: 146,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,627.75 : 446,506.29 = 97,968.42 : x
  2. Step 2: Convert to fraction form
    297,627.75/446,506.29 = 97,968.42/x
  3. Step 3: Cross multiply
    297,627.75x = 446,506.29 × 97,968.42
  4. Step 4: Simplify right side
    297,627.75x = 43,743,515,751.36
  5. Step 5: Solve for x
    x = 43,743,515,751.36/297,627.75
  6. Step 6: Final answer
    x = 146,973.92

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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.