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Finding the Fourth Proportional to 468,644.57, 702,999.65 and 188,161.82

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Solution

The fourth proportional to 468,644.57, 702,999.65 and 188,161.82 is: 282,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.57 : 702,999.65 = 188,161.82 : x
  2. Step 2: Convert to fraction form
    468,644.57/702,999.65 = 188,161.82/x
  3. Step 3: Cross multiply
    468,644.57x = 702,999.65 × 188,161.82
  4. Step 4: Simplify right side
    468,644.57x = 132,277,690,088.37
  5. Step 5: Solve for x
    x = 132,277,690,088.37/468,644.57
  6. Step 6: Final answer
    x = 282,255.89

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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.