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Finding the Fourth Proportional to 305,971.59, 458,292.78 and 147,868.50

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Solution

The fourth proportional to 305,971.59, 458,292.78 and 147,868.50 is: 221,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,971.59 : 458,292.78 = 147,868.50 : x
  2. Step 2: Convert to fraction form
    305,971.59/458,292.78 = 147,868.50/x
  3. Step 3: Cross multiply
    305,971.59x = 458,292.78 × 147,868.50
  4. Step 4: Simplify right side
    305,971.59x = 67,767,065,939.43
  5. Step 5: Solve for x
    x = 67,767,065,939.43/305,971.59
  6. Step 6: Final answer
    x = 221,481.56

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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.