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Finding the Fourth Proportional to 424,064.77, 635,183.70 and 199,088.08

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Solution

The fourth proportional to 424,064.77, 635,183.70 and 199,088.08 is: 298,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,064.77 : 635,183.70 = 199,088.08 : x
  2. Step 2: Convert to fraction form
    424,064.77/635,183.70 = 199,088.08/x
  3. Step 3: Cross multiply
    424,064.77x = 635,183.70 × 199,088.08
  4. Step 4: Simplify right side
    424,064.77x = 126,457,501,505.69
  5. Step 5: Solve for x
    x = 126,457,501,505.69/424,064.77
  6. Step 6: Final answer
    x = 298,203.27

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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.