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Finding the Fourth Proportional to 458,805.56, 687,943.74 and 177,994.76

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Solution

The fourth proportional to 458,805.56, 687,943.74 and 177,994.76 is: 266,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,805.56 : 687,943.74 = 177,994.76 : x
  2. Step 2: Convert to fraction form
    458,805.56/687,943.74 = 177,994.76/x
  3. Step 3: Cross multiply
    458,805.56x = 687,943.74 × 177,994.76
  4. Step 4: Simplify right side
    458,805.56x = 122,450,380,894.80
  5. Step 5: Solve for x
    x = 122,450,380,894.80/458,805.56
  6. Step 6: Final answer
    x = 266,889.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.