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Finding the Fourth Proportional to 308,063.28, 461,043.50 and 258,199.68

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Solution

The fourth proportional to 308,063.28, 461,043.50 and 258,199.68 is: 386,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,063.28 : 461,043.50 = 258,199.68 : x
  2. Step 2: Convert to fraction form
    308,063.28/461,043.50 = 258,199.68/x
  3. Step 3: Cross multiply
    308,063.28x = 461,043.50 × 258,199.68
  4. Step 4: Simplify right side
    308,063.28x = 119,041,284,166.08
  5. Step 5: Solve for x
    x = 119,041,284,166.08/308,063.28
  6. Step 6: Final answer
    x = 386,418.28

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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.