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Finding the Fourth Proportional to 403,930.32, 605,829.80 and 190,697.82

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Solution

The fourth proportional to 403,930.32, 605,829.80 and 190,697.82 is: 286,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,930.32 : 605,829.80 = 190,697.82 : x
  2. Step 2: Convert to fraction form
    403,930.32/605,829.80 = 190,697.82/x
  3. Step 3: Cross multiply
    403,930.32x = 605,829.80 × 190,697.82
  4. Step 4: Simplify right side
    403,930.32x = 115,530,422,151.04
  5. Step 5: Solve for x
    x = 115,530,422,151.04/403,930.32
  6. Step 6: Final answer
    x = 286,015.72

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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.