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Finding the Fourth Proportional to 403,796.80, 605,695.20 and 309,318.40

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Solution

The fourth proportional to 403,796.80, 605,695.20 and 309,318.40 is: 463,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,796.80 : 605,695.20 = 309,318.40 : x
  2. Step 2: Convert to fraction form
    403,796.80/605,695.20 = 309,318.40/x
  3. Step 3: Cross multiply
    403,796.80x = 605,695.20 × 309,318.40
  4. Step 4: Simplify right side
    403,796.80x = 187,352,670,151.68
  5. Step 5: Solve for x
    x = 187,352,670,151.68/403,796.80
  6. Step 6: Final answer
    x = 463,977.60

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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.