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Finding the Fourth Proportional to 314,453.46, 433,953.56 and 171,221.34

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Solution

The fourth proportional to 314,453.46, 433,953.56 and 171,221.34 is: 236,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,453.46 : 433,953.56 = 171,221.34 : x
  2. Step 2: Convert to fraction form
    314,453.46/433,953.56 = 171,221.34/x
  3. Step 3: Cross multiply
    314,453.46x = 433,953.56 × 171,221.34
  4. Step 4: Simplify right side
    314,453.46x = 74,302,110,040.97
  5. Step 5: Solve for x
    x = 74,302,110,040.97/314,453.46
  6. Step 6: Final answer
    x = 236,289.69

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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.