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Finding the Fourth Proportional to 282,466.44, 389,708.81 and 159,942.13

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Solution

The fourth proportional to 282,466.44, 389,708.81 and 159,942.13 is: 220,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,466.44 : 389,708.81 = 159,942.13 : x
  2. Step 2: Convert to fraction form
    282,466.44/389,708.81 = 159,942.13/x
  3. Step 3: Cross multiply
    282,466.44x = 389,708.81 × 159,942.13
  4. Step 4: Simplify right side
    282,466.44x = 62,330,857,151.17
  5. Step 5: Solve for x
    x = 62,330,857,151.17/282,466.44
  6. Step 6: Final answer
    x = 220,666.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.