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Finding the Fourth Proportional to 296,485.87, 444,772.14 and 86,096.47

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Solution

The fourth proportional to 296,485.87, 444,772.14 and 86,096.47 is: 129,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,485.87 : 444,772.14 = 86,096.47 : x
  2. Step 2: Convert to fraction form
    296,485.87/444,772.14 = 86,096.47/x
  3. Step 3: Cross multiply
    296,485.87x = 444,772.14 × 86,096.47
  4. Step 4: Simplify right side
    296,485.87x = 38,293,311,208.35
  5. Step 5: Solve for x
    x = 38,293,311,208.35/296,485.87
  6. Step 6: Final answer
    x = 129,157.29

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Why These Related Problems?

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