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Finding the Fourth Proportional to 378,485.50, 567,728.34 and 153,968.08

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Solution

The fourth proportional to 378,485.50, 567,728.34 and 153,968.08 is: 230,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,485.50 : 567,728.34 = 153,968.08 : x
  2. Step 2: Convert to fraction form
    378,485.50/567,728.34 = 153,968.08/x
  3. Step 3: Cross multiply
    378,485.50x = 567,728.34 × 153,968.08
  4. Step 4: Simplify right side
    378,485.50x = 87,412,042,471.39
  5. Step 5: Solve for x
    x = 87,412,042,471.39/378,485.50
  6. Step 6: Final answer
    x = 230,952.16

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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.