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Finding the Fourth Proportional to 416,484.78, 624,721.68 and 100,944.42

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Solution

The fourth proportional to 416,484.78, 624,721.68 and 100,944.42 is: 151,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,484.78 : 624,721.68 = 100,944.42 : x
  2. Step 2: Convert to fraction form
    416,484.78/624,721.68 = 100,944.42/x
  3. Step 3: Cross multiply
    416,484.78x = 624,721.68 × 100,944.42
  4. Step 4: Simplify right side
    416,484.78x = 63,062,167,649.03
  5. Step 5: Solve for x
    x = 63,062,167,649.03/416,484.78
  6. Step 6: Final answer
    x = 151,415.30

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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.