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Finding the Fourth Proportional to 412,096.72, 618,145.08 and 225,006.16

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Solution

The fourth proportional to 412,096.72, 618,145.08 and 225,006.16 is: 337,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,096.72 : 618,145.08 = 225,006.16 : x
  2. Step 2: Convert to fraction form
    412,096.72/618,145.08 = 225,006.16/x
  3. Step 3: Cross multiply
    412,096.72x = 618,145.08 × 225,006.16
  4. Step 4: Simplify right side
    412,096.72x = 139,086,450,773.69
  5. Step 5: Solve for x
    x = 139,086,450,773.69/412,096.72
  6. Step 6: Final answer
    x = 337,509.24

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Similar ratio
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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.