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Finding the Fourth Proportional to 314,340.45, 433,777.75 and 178,366.29

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Solution

The fourth proportional to 314,340.45, 433,777.75 and 178,366.29 is: 246,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,340.45 : 433,777.75 = 178,366.29 : x
  2. Step 2: Convert to fraction form
    314,340.45/433,777.75 = 178,366.29/x
  3. Step 3: Cross multiply
    314,340.45x = 433,777.75 × 178,366.29
  4. Step 4: Simplify right side
    314,340.45x = 77,371,325,879.47
  5. Step 5: Solve for x
    x = 77,371,325,879.47/314,340.45
  6. Step 6: Final answer
    x = 246,138.63

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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.