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Finding the Fourth Proportional to 407,222.99, 610,457.43 and 150,912.87

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Solution

The fourth proportional to 407,222.99, 610,457.43 and 150,912.87 is: 226,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,222.99 : 610,457.43 = 150,912.87 : x
  2. Step 2: Convert to fraction form
    407,222.99/610,457.43 = 150,912.87/x
  3. Step 3: Cross multiply
    407,222.99x = 610,457.43 × 150,912.87
  4. Step 4: Simplify right side
    407,222.99x = 92,125,883,635.77
  5. Step 5: Solve for x
    x = 92,125,883,635.77/407,222.99
  6. Step 6: Final answer
    x = 226,229.57

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1.5x scale

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.