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Finding the Fourth Proportional to 412,111.72, 618,167.58 and 225,021.16

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Solution

The fourth proportional to 412,111.72, 618,167.58 and 225,021.16 is: 337,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,111.72 : 618,167.58 = 225,021.16 : x
  2. Step 2: Convert to fraction form
    412,111.72/618,167.58 = 225,021.16/x
  3. Step 3: Cross multiply
    412,111.72x = 618,167.58 × 225,021.16
  4. Step 4: Simplify right side
    412,111.72x = 139,100,785,925.99
  5. Step 5: Solve for x
    x = 139,100,785,925.99/412,111.72
  6. Step 6: Final answer
    x = 337,531.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.