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Finding the Fourth Proportional to 416,409.04, 624,615.18 and 100,865.44

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Solution

The fourth proportional to 416,409.04, 624,615.18 and 100,865.44 is: 151,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,409.04 : 624,615.18 = 100,865.44 : x
  2. Step 2: Convert to fraction form
    416,409.04/624,615.18 = 100,865.44/x
  3. Step 3: Cross multiply
    416,409.04x = 624,615.18 × 100,865.44
  4. Step 4: Simplify right side
    416,409.04x = 63,002,084,961.38
  5. Step 5: Solve for x
    x = 63,002,084,961.38/416,409.04
  6. Step 6: Final answer
    x = 151,298.55

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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.