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Finding the Fourth Proportional to 309,950.14, 427,716.40 and 173,967.34

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Solution

The fourth proportional to 309,950.14, 427,716.40 and 173,967.34 is: 240,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,950.14 : 427,716.40 = 173,967.34 : x
  2. Step 2: Convert to fraction form
    309,950.14/427,716.40 = 173,967.34/x
  3. Step 3: Cross multiply
    309,950.14x = 427,716.40 × 173,967.34
  4. Step 4: Simplify right side
    309,950.14x = 74,408,684,382.38
  5. Step 5: Solve for x
    x = 74,408,684,382.38/309,950.14
  6. Step 6: Final answer
    x = 240,066.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.