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Finding the Fourth Proportional to 393,548.22, 590,112.54 and 153,743.67

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Solution

The fourth proportional to 393,548.22, 590,112.54 and 153,743.67 is: 230,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,548.22 : 590,112.54 = 153,743.67 : x
  2. Step 2: Convert to fraction form
    393,548.22/590,112.54 = 153,743.67/x
  3. Step 3: Cross multiply
    393,548.22x = 590,112.54 × 153,743.67
  4. Step 4: Simplify right side
    393,548.22x = 90,726,067,612.62
  5. Step 5: Solve for x
    x = 90,726,067,612.62/393,548.22
  6. Step 6: Final answer
    x = 230,533.55

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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.