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Finding the Fourth Proportional to 416,371.32, 624,558.60 and 100,828.53

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Solution

The fourth proportional to 416,371.32, 624,558.60 and 100,828.53 is: 151,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,371.32 : 624,558.60 = 100,828.53 : x
  2. Step 2: Convert to fraction form
    416,371.32/624,558.60 = 100,828.53/x
  3. Step 3: Cross multiply
    416,371.32x = 624,558.60 × 100,828.53
  4. Step 4: Simplify right side
    416,371.32x = 62,973,325,536.86
  5. Step 5: Solve for x
    x = 62,973,325,536.86/416,371.32
  6. Step 6: Final answer
    x = 151,243.19

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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.