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Finding the Fourth Proportional to 393,644.40, 590,063.40 and 193,657.20

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Solution

The fourth proportional to 393,644.40, 590,063.40 and 193,657.20 is: 290,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,644.40 : 590,063.40 = 193,657.20 : x
  2. Step 2: Convert to fraction form
    393,644.40/590,063.40 = 193,657.20/x
  3. Step 3: Cross multiply
    393,644.40x = 590,063.40 × 193,657.20
  4. Step 4: Simplify right side
    393,644.40x = 114,270,025,866.48
  5. Step 5: Solve for x
    x = 114,270,025,866.48/393,644.40
  6. Step 6: Final answer
    x = 290,287.44

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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.