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Finding the Fourth Proportional to 403,930.40, 605,829.88 and 190,697.90

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Solution

The fourth proportional to 403,930.40, 605,829.88 and 190,697.90 is: 286,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,930.40 : 605,829.88 = 190,697.90 : x
  2. Step 2: Convert to fraction form
    403,930.40/605,829.88 = 190,697.90/x
  3. Step 3: Cross multiply
    403,930.40x = 605,829.88 × 190,697.90
  4. Step 4: Simplify right side
    403,930.40x = 115,530,483,082.48
  5. Step 5: Solve for x
    x = 115,530,483,082.48/403,930.40
  6. Step 6: Final answer
    x = 286,015.82

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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.