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Finding the Fourth Proportional to 314,458.42, 433,947 and 171,215.86

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Solution

The fourth proportional to 314,458.42, 433,947 and 171,215.86 is: 236,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,458.42 : 433,947 = 171,215.86 : x
  2. Step 2: Convert to fraction form
    314,458.42/433,947 = 171,215.86/x
  3. Step 3: Cross multiply
    314,458.42x = 433,947 × 171,215.86
  4. Step 4: Simplify right side
    314,458.42x = 74,298,608,799.42
  5. Step 5: Solve for x
    x = 74,298,608,799.42/314,458.42
  6. Step 6: Final answer
    x = 236,274.83

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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.