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Finding the Fourth Proportional to 313,378.54, 432,489.16 and 177,436.44

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Solution

The fourth proportional to 313,378.54, 432,489.16 and 177,436.44 is: 244,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,378.54 : 432,489.16 = 177,436.44 : x
  2. Step 2: Convert to fraction form
    313,378.54/432,489.16 = 177,436.44/x
  3. Step 3: Cross multiply
    313,378.54x = 432,489.16 × 177,436.44
  4. Step 4: Simplify right side
    313,378.54x = 76,739,336,888.99
  5. Step 5: Solve for x
    x = 76,739,336,888.99/313,378.54
  6. Step 6: Final answer
    x = 244,877.45

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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.