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Finding the Fourth Proportional to 433,537.92, 650,172.42 and 152,989.56

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Solution

The fourth proportional to 433,537.92, 650,172.42 and 152,989.56 is: 229,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,537.92 : 650,172.42 = 152,989.56 : x
  2. Step 2: Convert to fraction form
    433,537.92/650,172.42 = 152,989.56/x
  3. Step 3: Cross multiply
    433,537.92x = 650,172.42 × 152,989.56
  4. Step 4: Simplify right side
    433,537.92x = 99,469,592,459.94
  5. Step 5: Solve for x
    x = 99,469,592,459.94/433,537.92
  6. Step 6: Final answer
    x = 229,436.89

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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.