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Finding the Fourth Proportional to 314,371.68, 433,834.94 and 171,131.68

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Solution

The fourth proportional to 314,371.68, 433,834.94 and 171,131.68 is: 236,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,371.68 : 433,834.94 = 171,131.68 : x
  2. Step 2: Convert to fraction form
    314,371.68/433,834.94 = 171,131.68/x
  3. Step 3: Cross multiply
    314,371.68x = 433,834.94 × 171,131.68
  4. Step 4: Simplify right side
    314,371.68x = 74,242,902,124.90
  5. Step 5: Solve for x
    x = 74,242,902,124.90/314,371.68
  6. Step 6: Final answer
    x = 236,162.82

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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.