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Finding the Fourth Proportional to 641,041.92, 961,300.44 and 285,813

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Solution

The fourth proportional to 641,041.92, 961,300.44 and 285,813 is: 428,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,041.92 : 961,300.44 = 285,813 : x
  2. Step 2: Convert to fraction form
    641,041.92/961,300.44 = 285,813/x
  3. Step 3: Cross multiply
    641,041.92x = 961,300.44 × 285,813
  4. Step 4: Simplify right side
    641,041.92x = 274,752,162,657.72
  5. Step 5: Solve for x
    x = 274,752,162,657.72/641,041.92
  6. Step 6: Final answer
    x = 428,602.49

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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.