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Finding the Fourth Proportional to 393,043.44, 589,689.77 and 140,318.51

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Solution

The fourth proportional to 393,043.44, 589,689.77 and 140,318.51 is: 210,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,043.44 : 589,689.77 = 140,318.51 : x
  2. Step 2: Convert to fraction form
    393,043.44/589,689.77 = 140,318.51/x
  3. Step 3: Cross multiply
    393,043.44x = 589,689.77 × 140,318.51
  4. Step 4: Simplify right side
    393,043.44x = 82,744,386,238.60
  5. Step 5: Solve for x
    x = 82,744,386,238.60/393,043.44
  6. Step 6: Final answer
    x = 210,522.24

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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.