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Finding the Fourth Proportional to 416,508.17, 624,762.25 and 100,965.08

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Solution

The fourth proportional to 416,508.17, 624,762.25 and 100,965.08 is: 151,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,508.17 : 624,762.25 = 100,965.08 : x
  2. Step 2: Convert to fraction form
    416,508.17/624,762.25 = 100,965.08/x
  3. Step 3: Cross multiply
    416,508.17x = 624,762.25 × 100,965.08
  4. Step 4: Simplify right side
    416,508.17x = 63,079,168,653.56
  5. Step 5: Solve for x
    x = 63,079,168,653.56/416,508.17
  6. Step 6: Final answer
    x = 151,447.61

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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.