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Finding the Fourth Proportional to 393,224.80, 589,837.60 and 97,736.80

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Solution

The fourth proportional to 393,224.80, 589,837.60 and 97,736.80 is: 146,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,224.80 : 589,837.60 = 97,736.80 : x
  2. Step 2: Convert to fraction form
    393,224.80/589,837.60 = 97,736.80/x
  3. Step 3: Cross multiply
    393,224.80x = 589,837.60 × 97,736.80
  4. Step 4: Simplify right side
    393,224.80x = 57,648,839,543.68
  5. Step 5: Solve for x
    x = 57,648,839,543.68/393,224.80
  6. Step 6: Final answer
    x = 146,605.30

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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.