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Finding the Fourth Proportional to 433,720.73, 650,456.25 and 149,399.80

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Solution

The fourth proportional to 433,720.73, 650,456.25 and 149,399.80 is: 224,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,720.73 : 650,456.25 = 149,399.80 : x
  2. Step 2: Convert to fraction form
    433,720.73/650,456.25 = 149,399.80/x
  3. Step 3: Cross multiply
    433,720.73x = 650,456.25 × 149,399.80
  4. Step 4: Simplify right side
    433,720.73x = 97,178,033,658.75
  5. Step 5: Solve for x
    x = 97,178,033,658.75/433,720.73
  6. Step 6: Final answer
    x = 224,056.70

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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.