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Finding the Fourth Proportional to 314,278.97, 433,629.34 and 185,222.58

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Solution

The fourth proportional to 314,278.97, 433,629.34 and 185,222.58 is: 255,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,278.97 : 433,629.34 = 185,222.58 : x
  2. Step 2: Convert to fraction form
    314,278.97/433,629.34 = 185,222.58/x
  3. Step 3: Cross multiply
    314,278.97x = 433,629.34 × 185,222.58
  4. Step 4: Simplify right side
    314,278.97x = 80,317,945,350.03
  5. Step 5: Solve for x
    x = 80,317,945,350.03/314,278.97
  6. Step 6: Final answer
    x = 255,562.58

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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.