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Finding the Fourth Proportional to 309,716.94, 464,261.76 and 209,887.32

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Solution

The fourth proportional to 309,716.94, 464,261.76 and 209,887.32 is: 314,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,716.94 : 464,261.76 = 209,887.32 : x
  2. Step 2: Convert to fraction form
    309,716.94/464,261.76 = 209,887.32/x
  3. Step 3: Cross multiply
    309,716.94x = 464,261.76 × 209,887.32
  4. Step 4: Simplify right side
    309,716.94x = 97,442,656,584.88
  5. Step 5: Solve for x
    x = 97,442,656,584.88/309,716.94
  6. Step 6: Final answer
    x = 314,618.43

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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.