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Finding the Fourth Proportional to 416,319.54, 624,480.93 and 100,775.94

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Solution

The fourth proportional to 416,319.54, 624,480.93 and 100,775.94 is: 151,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,319.54 : 624,480.93 = 100,775.94 : x
  2. Step 2: Convert to fraction form
    416,319.54/624,480.93 = 100,775.94/x
  3. Step 3: Cross multiply
    416,319.54x = 624,480.93 × 100,775.94
  4. Step 4: Simplify right side
    416,319.54x = 62,932,652,732.82
  5. Step 5: Solve for x
    x = 62,932,652,732.82/416,319.54
  6. Step 6: Final answer
    x = 151,164.30

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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.