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Finding the Fourth Proportional to 416,652.32, 624,142.56 and 191,699.36

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Solution

The fourth proportional to 416,652.32, 624,142.56 and 191,699.36 is: 287,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,652.32 : 624,142.56 = 191,699.36 : x
  2. Step 2: Convert to fraction form
    416,652.32/624,142.56 = 191,699.36/x
  3. Step 3: Cross multiply
    416,652.32x = 624,142.56 × 191,699.36
  4. Step 4: Simplify right side
    416,652.32x = 119,647,729,300.76
  5. Step 5: Solve for x
    x = 119,647,729,300.76/416,652.32
  6. Step 6: Final answer
    x = 287,164.44

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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.