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Finding the Fourth Proportional to 314,749.68, 434,356.92 and 171,513.60

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Solution

The fourth proportional to 314,749.68, 434,356.92 and 171,513.60 is: 236,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,749.68 : 434,356.92 = 171,513.60 : x
  2. Step 2: Convert to fraction form
    314,749.68/434,356.92 = 171,513.60/x
  3. Step 3: Cross multiply
    314,749.68x = 434,356.92 × 171,513.60
  4. Step 4: Simplify right side
    314,749.68x = 74,498,119,034.11
  5. Step 5: Solve for x
    x = 74,498,119,034.11/314,749.68
  6. Step 6: Final answer
    x = 236,690.05

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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.