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Finding the Fourth Proportional to 305,063.40, 457,618.49 and 102,660.50

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Solution

The fourth proportional to 305,063.40, 457,618.49 and 102,660.50 is: 153,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,063.40 : 457,618.49 = 102,660.50 : x
  2. Step 2: Convert to fraction form
    305,063.40/457,618.49 = 102,660.50/x
  3. Step 3: Cross multiply
    305,063.40x = 457,618.49 × 102,660.50
  4. Step 4: Simplify right side
    305,063.40x = 46,979,342,292.30
  5. Step 5: Solve for x
    x = 46,979,342,292.30/305,063.40
  6. Step 6: Final answer
    x = 153,998.62

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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.