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Finding the Fourth Proportional to 297,658.16, 446,548.73 and 97,990.55

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Solution

The fourth proportional to 297,658.16, 446,548.73 and 97,990.55 is: 147,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,658.16 : 446,548.73 = 97,990.55 : x
  2. Step 2: Convert to fraction form
    297,658.16/446,548.73 = 97,990.55/x
  3. Step 3: Cross multiply
    297,658.16x = 446,548.73 × 97,990.55
  4. Step 4: Simplify right side
    297,658.16x = 43,757,555,654.50
  5. Step 5: Solve for x
    x = 43,757,555,654.50/297,658.16
  6. Step 6: Final answer
    x = 147,006.07

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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.