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Finding the Fourth Proportional to 416,489.45, 624,734.16 and 100,946.36

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Solution

The fourth proportional to 416,489.45, 624,734.16 and 100,946.36 is: 151,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,489.45 : 624,734.16 = 100,946.36 : x
  2. Step 2: Convert to fraction form
    416,489.45/624,734.16 = 100,946.36/x
  3. Step 3: Cross multiply
    416,489.45x = 624,734.16 × 100,946.36
  4. Step 4: Simplify right side
    416,489.45x = 63,064,636,295.99
  5. Step 5: Solve for x
    x = 63,064,636,295.99/416,489.45
  6. Step 6: Final answer
    x = 151,419.53

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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.