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Finding the Fourth Proportional to 270,216.10, 405,324.15 and 73,224.10

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Solution

The fourth proportional to 270,216.10, 405,324.15 and 73,224.10 is: 109,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216.10 : 405,324.15 = 73,224.10 : x
  2. Step 2: Convert to fraction form
    270,216.10/405,324.15 = 73,224.10/x
  3. Step 3: Cross multiply
    270,216.10x = 405,324.15 × 73,224.10
  4. Step 4: Simplify right side
    270,216.10x = 29,679,496,092.02
  5. Step 5: Solve for x
    x = 29,679,496,092.02/270,216.10
  6. Step 6: Final answer
    x = 109,836.15

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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.