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Finding the Fourth Proportional to 403,771.80, 605,139.30 and 309,811.80

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Solution

The fourth proportional to 403,771.80, 605,139.30 and 309,811.80 is: 464,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,771.80 : 605,139.30 = 309,811.80 : x
  2. Step 2: Convert to fraction form
    403,771.80/605,139.30 = 309,811.80/x
  3. Step 3: Cross multiply
    403,771.80x = 605,139.30 × 309,811.80
  4. Step 4: Simplify right side
    403,771.80x = 187,479,295,783.74
  5. Step 5: Solve for x
    x = 187,479,295,783.74/403,771.80
  6. Step 6: Final answer
    x = 464,319.93

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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.