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Finding the Fourth Proportional to 322,983.72, 484,312.67 and 188,091.38

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Solution

The fourth proportional to 322,983.72, 484,312.67 and 188,091.38 is: 282,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,983.72 : 484,312.67 = 188,091.38 : x
  2. Step 2: Convert to fraction form
    322,983.72/484,312.67 = 188,091.38/x
  3. Step 3: Cross multiply
    322,983.72x = 484,312.67 × 188,091.38
  4. Step 4: Simplify right side
    322,983.72x = 91,095,039,427.45
  5. Step 5: Solve for x
    x = 91,095,039,427.45/322,983.72
  6. Step 6: Final answer
    x = 282,042.20

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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.