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Finding the Fourth Proportional to 442,409.82, 663,194.31 and 282,035.58

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Solution

The fourth proportional to 442,409.82, 663,194.31 and 282,035.58 is: 422,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,409.82 : 663,194.31 = 282,035.58 : x
  2. Step 2: Convert to fraction form
    442,409.82/663,194.31 = 282,035.58/x
  3. Step 3: Cross multiply
    442,409.82x = 663,194.31 × 282,035.58
  4. Step 4: Simplify right side
    442,409.82x = 187,044,389,588.47
  5. Step 5: Solve for x
    x = 187,044,389,588.47/442,409.82
  6. Step 6: Final answer
    x = 422,785.34

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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.