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Finding the Fourth Proportional to 416,976.20, 575,489.02 and 264,028.64

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Solution

The fourth proportional to 416,976.20, 575,489.02 and 264,028.64 is: 364,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,976.20 : 575,489.02 = 264,028.64 : x
  2. Step 2: Convert to fraction form
    416,976.20/575,489.02 = 264,028.64/x
  3. Step 3: Cross multiply
    416,976.20x = 575,489.02 × 264,028.64
  4. Step 4: Simplify right side
    416,976.20x = 151,945,583,285.53
  5. Step 5: Solve for x
    x = 151,945,583,285.53/416,976.20
  6. Step 6: Final answer
    x = 364,398.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.