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Finding the Fourth Proportional to 437,168.01, 654,735.71 and 422,014.83

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Solution

The fourth proportional to 437,168.01, 654,735.71 and 422,014.83 is: 632,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,168.01 : 654,735.71 = 422,014.83 : x
  2. Step 2: Convert to fraction form
    437,168.01/654,735.71 = 422,014.83/x
  3. Step 3: Cross multiply
    437,168.01x = 654,735.71 × 422,014.83
  4. Step 4: Simplify right side
    437,168.01x = 276,308,179,350.58
  5. Step 5: Solve for x
    x = 276,308,179,350.58/437,168.01
  6. Step 6: Final answer
    x = 632,041.17

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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.