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Finding the Fourth Proportional to 416,676.26, 625,009.83 and 101,133.17

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Solution

The fourth proportional to 416,676.26, 625,009.83 and 101,133.17 is: 151,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,676.26 : 625,009.83 = 101,133.17 : x
  2. Step 2: Convert to fraction form
    416,676.26/625,009.83 = 101,133.17/x
  3. Step 3: Cross multiply
    416,676.26x = 625,009.83 × 101,133.17
  4. Step 4: Simplify right side
    416,676.26x = 63,209,223,720.34
  5. Step 5: Solve for x
    x = 63,209,223,720.34/416,676.26
  6. Step 6: Final answer
    x = 151,698.64

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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.