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Finding the Fourth Proportional to 403,840.30, 605,614.65 and 204,094.30

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Solution

The fourth proportional to 403,840.30, 605,614.65 and 204,094.30 is: 306,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,840.30 : 605,614.65 = 204,094.30 : x
  2. Step 2: Convert to fraction form
    403,840.30/605,614.65 = 204,094.30/x
  3. Step 3: Cross multiply
    403,840.30x = 605,614.65 × 204,094.30
  4. Step 4: Simplify right side
    403,840.30x = 123,602,498,061.50
  5. Step 5: Solve for x
    x = 123,602,498,061.50/403,840.30
  6. Step 6: Final answer
    x = 306,067.77

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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.