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Finding the Fourth Proportional to 416,320.06, 624,481.69 and 100,776.46

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Solution

The fourth proportional to 416,320.06, 624,481.69 and 100,776.46 is: 151,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,320.06 : 624,481.69 = 100,776.46 : x
  2. Step 2: Convert to fraction form
    416,320.06/624,481.69 = 100,776.46/x
  3. Step 3: Cross multiply
    416,320.06x = 624,481.69 × 100,776.46
  4. Step 4: Simplify right side
    416,320.06x = 62,933,054,053.02
  5. Step 5: Solve for x
    x = 62,933,054,053.02/416,320.06
  6. Step 6: Final answer
    x = 151,165.08

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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.