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Finding the Fourth Proportional to 433,408.79, 649,951.52 and 149,018.87

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Solution

The fourth proportional to 433,408.79, 649,951.52 and 149,018.87 is: 223,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,408.79 : 649,951.52 = 149,018.87 : x
  2. Step 2: Convert to fraction form
    433,408.79/649,951.52 = 149,018.87/x
  3. Step 3: Cross multiply
    433,408.79x = 649,951.52 × 149,018.87
  4. Step 4: Simplify right side
    433,408.79x = 96,855,041,065.18
  5. Step 5: Solve for x
    x = 96,855,041,065.18/433,408.79
  6. Step 6: Final answer
    x = 223,472.72

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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.