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Finding the Fourth Proportional to 416,840.64, 625,255.52 and 101,296.64

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Solution

The fourth proportional to 416,840.64, 625,255.52 and 101,296.64 is: 151,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,840.64 : 625,255.52 = 101,296.64 : x
  2. Step 2: Convert to fraction form
    416,840.64/625,255.52 = 101,296.64/x
  3. Step 3: Cross multiply
    416,840.64x = 625,255.52 × 101,296.64
  4. Step 4: Simplify right side
    416,840.64x = 63,336,283,317.45
  5. Step 5: Solve for x
    x = 63,336,283,317.45/416,840.64
  6. Step 6: Final answer
    x = 151,943.64

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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.