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Finding the Fourth Proportional to 282,286.83, 389,541.54 and 167,570.38

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Solution

The fourth proportional to 282,286.83, 389,541.54 and 167,570.38 is: 231,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,286.83 : 389,541.54 = 167,570.38 : x
  2. Step 2: Convert to fraction form
    282,286.83/389,541.54 = 167,570.38/x
  3. Step 3: Cross multiply
    282,286.83x = 389,541.54 × 167,570.38
  4. Step 4: Simplify right side
    282,286.83x = 65,275,624,056.32
  5. Step 5: Solve for x
    x = 65,275,624,056.32/282,286.83
  6. Step 6: Final answer
    x = 231,238.64

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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.