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Finding the Fourth Proportional to 403,828.80, 605,597.40 and 204,082.80

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Solution

The fourth proportional to 403,828.80, 605,597.40 and 204,082.80 is: 306,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,828.80 : 605,597.40 = 204,082.80 : x
  2. Step 2: Convert to fraction form
    403,828.80/605,597.40 = 204,082.80/x
  3. Step 3: Cross multiply
    403,828.80x = 605,597.40 × 204,082.80
  4. Step 4: Simplify right side
    403,828.80x = 123,592,013,064.72
  5. Step 5: Solve for x
    x = 123,592,013,064.72/403,828.80
  6. Step 6: Final answer
    x = 306,050.52

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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.