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Finding the Fourth Proportional to 393,416.65, 589,980.39 and 140,628.93

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Solution

The fourth proportional to 393,416.65, 589,980.39 and 140,628.93 is: 210,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,416.65 : 589,980.39 = 140,628.93 : x
  2. Step 2: Convert to fraction form
    393,416.65/589,980.39 = 140,628.93/x
  3. Step 3: Cross multiply
    393,416.65x = 589,980.39 × 140,628.93
  4. Step 4: Simplify right side
    393,416.65x = 82,968,310,966.68
  5. Step 5: Solve for x
    x = 82,968,310,966.68/393,416.65
  6. Step 6: Final answer
    x = 210,891.71

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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.