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Finding the Fourth Proportional to 433,407.79, 649,950.02 and 149,017.87

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Solution

The fourth proportional to 433,407.79, 649,950.02 and 149,017.87 is: 223,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,407.79 : 649,950.02 = 149,017.87 : x
  2. Step 2: Convert to fraction form
    433,407.79/649,950.02 = 149,017.87/x
  3. Step 3: Cross multiply
    433,407.79x = 649,950.02 × 149,017.87
  4. Step 4: Simplify right side
    433,407.79x = 96,854,167,586.86
  5. Step 5: Solve for x
    x = 96,854,167,586.86/433,407.79
  6. Step 6: Final answer
    x = 223,471.22

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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.