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Finding the Fourth Proportional to 297,658.74, 446,489.33 and 73,020.63

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Solution

The fourth proportional to 297,658.74, 446,489.33 and 73,020.63 is: 109,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,658.74 : 446,489.33 = 73,020.63 : x
  2. Step 2: Convert to fraction form
    297,658.74/446,489.33 = 73,020.63/x
  3. Step 3: Cross multiply
    297,658.74x = 446,489.33 × 73,020.63
  4. Step 4: Simplify right side
    297,658.74x = 32,602,932,164.88
  5. Step 5: Solve for x
    x = 32,602,932,164.88/297,658.74
  6. Step 6: Final answer
    x = 109,531.24

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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.