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Finding the Fourth Proportional to 403,974.80, 605,443.80 and 310,014.80

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Solution

The fourth proportional to 403,974.80, 605,443.80 and 310,014.80 is: 464,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,974.80 : 605,443.80 = 310,014.80 : x
  2. Step 2: Convert to fraction form
    403,974.80/605,443.80 = 310,014.80/x
  3. Step 3: Cross multiply
    403,974.80x = 605,443.80 × 310,014.80
  4. Step 4: Simplify right side
    403,974.80x = 187,696,538,568.24
  5. Step 5: Solve for x
    x = 187,696,538,568.24/403,974.80
  6. Step 6: Final answer
    x = 464,624.37

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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.