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Finding the Fourth Proportional to 403,712.38, 605,686.98 and 119,410.42

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Solution

The fourth proportional to 403,712.38, 605,686.98 and 119,410.42 is: 179,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,712.38 : 605,686.98 = 119,410.42 : x
  2. Step 2: Convert to fraction form
    403,712.38/605,686.98 = 119,410.42/x
  3. Step 3: Cross multiply
    403,712.38x = 605,686.98 × 119,410.42
  4. Step 4: Simplify right side
    403,712.38x = 72,325,336,670.33
  5. Step 5: Solve for x
    x = 72,325,336,670.33/403,712.38
  6. Step 6: Final answer
    x = 179,150.65

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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.