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Finding the Fourth Proportional to 314,424.63, 433,906.05 and 171,184.68

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Solution

The fourth proportional to 314,424.63, 433,906.05 and 171,184.68 is: 236,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,424.63 : 433,906.05 = 171,184.68 : x
  2. Step 2: Convert to fraction form
    314,424.63/433,906.05 = 171,184.68/x
  3. Step 3: Cross multiply
    314,424.63x = 433,906.05 × 171,184.68
  4. Step 4: Simplify right side
    314,424.63x = 74,278,068,319.31
  5. Step 5: Solve for x
    x = 74,278,068,319.31/314,424.63
  6. Step 6: Final answer
    x = 236,234.89

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