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Finding the Fourth Proportional to 403,724.80, 605,068.80 and 309,764.80

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Solution

The fourth proportional to 403,724.80, 605,068.80 and 309,764.80 is: 464,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,724.80 : 605,068.80 = 309,764.80 : x
  2. Step 2: Convert to fraction form
    403,724.80/605,068.80 = 309,764.80/x
  3. Step 3: Cross multiply
    403,724.80x = 605,068.80 × 309,764.80
  4. Step 4: Simplify right side
    403,724.80x = 187,429,015,818.24
  5. Step 5: Solve for x
    x = 187,429,015,818.24/403,724.80
  6. Step 6: Final answer
    x = 464,249.45

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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.