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Finding the Fourth Proportional to 423,183.16, 634,772.61 and 149,832.16

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Solution

The fourth proportional to 423,183.16, 634,772.61 and 149,832.16 is: 224,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,183.16 : 634,772.61 = 149,832.16 : x
  2. Step 2: Convert to fraction form
    423,183.16/634,772.61 = 149,832.16/x
  3. Step 3: Cross multiply
    423,183.16x = 634,772.61 × 149,832.16
  4. Step 4: Simplify right side
    423,183.16x = 95,109,351,265.14
  5. Step 5: Solve for x
    x = 95,109,351,265.14/423,183.16
  6. Step 6: Final answer
    x = 224,747.49

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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.