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Finding the Fourth Proportional to 393,534.44, 590,301.66 and 217,162.46

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Solution

The fourth proportional to 393,534.44, 590,301.66 and 217,162.46 is: 325,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,534.44 : 590,301.66 = 217,162.46 : x
  2. Step 2: Convert to fraction form
    393,534.44/590,301.66 = 217,162.46/x
  3. Step 3: Cross multiply
    393,534.44x = 590,301.66 × 217,162.46
  4. Step 4: Simplify right side
    393,534.44x = 128,191,357,133.27
  5. Step 5: Solve for x
    x = 128,191,357,133.27/393,534.44
  6. Step 6: Final answer
    x = 325,743.68

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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.