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Finding the Fourth Proportional to 393,054.47, 589,706.33 and 140,329.46

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Solution

The fourth proportional to 393,054.47, 589,706.33 and 140,329.46 is: 210,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,054.47 : 589,706.33 = 140,329.46 : x
  2. Step 2: Convert to fraction form
    393,054.47/589,706.33 = 140,329.46/x
  3. Step 3: Cross multiply
    393,054.47x = 589,706.33 × 140,329.46
  4. Step 4: Simplify right side
    393,054.47x = 82,753,171,620.10
  5. Step 5: Solve for x
    x = 82,753,171,620.10/393,054.47
  6. Step 6: Final answer
    x = 210,538.68

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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.