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Finding the Fourth Proportional to 393,171.50, 589,009.14 and 203,347.46

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Solution

The fourth proportional to 393,171.50, 589,009.14 and 203,347.46 is: 304,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,171.50 : 589,009.14 = 203,347.46 : x
  2. Step 2: Convert to fraction form
    393,171.50/589,009.14 = 203,347.46/x
  3. Step 3: Cross multiply
    393,171.50x = 589,009.14 × 203,347.46
  4. Step 4: Simplify right side
    393,171.50x = 119,773,512,535.78
  5. Step 5: Solve for x
    x = 119,773,512,535.78/393,171.50
  6. Step 6: Final answer
    x = 304,634.27

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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.