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Finding the Fourth Proportional to 462,323.92, 693,554.81 and 142,449.02

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Solution

The fourth proportional to 462,323.92, 693,554.81 and 142,449.02 is: 213,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,323.92 : 693,554.81 = 142,449.02 : x
  2. Step 2: Convert to fraction form
    462,323.92/693,554.81 = 142,449.02/x
  3. Step 3: Cross multiply
    462,323.92x = 693,554.81 × 142,449.02
  4. Step 4: Simplify right side
    462,323.92x = 98,796,204,022.43
  5. Step 5: Solve for x
    x = 98,796,204,022.43/462,323.92
  6. Step 6: Final answer
    x = 213,694.77

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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.