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Finding the Fourth Proportional to 393,732.80, 590,210.40 and 193,889.60

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Solution

The fourth proportional to 393,732.80, 590,210.40 and 193,889.60 is: 290,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,732.80 : 590,210.40 = 193,889.60 : x
  2. Step 2: Convert to fraction form
    393,732.80/590,210.40 = 193,889.60/x
  3. Step 3: Cross multiply
    393,732.80x = 590,210.40 × 193,889.60
  4. Step 4: Simplify right side
    393,732.80x = 114,435,658,371.84
  5. Step 5: Solve for x
    x = 114,435,658,371.84/393,732.80
  6. Step 6: Final answer
    x = 290,642.94

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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.