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Finding the Fourth Proportional to 298,887.36, 412,456.34 and 162,923.96

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Solution

The fourth proportional to 298,887.36, 412,456.34 and 162,923.96 is: 224,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,887.36 : 412,456.34 = 162,923.96 : x
  2. Step 2: Convert to fraction form
    298,887.36/412,456.34 = 162,923.96/x
  3. Step 3: Cross multiply
    298,887.36x = 412,456.34 × 162,923.96
  4. Step 4: Simplify right side
    298,887.36x = 67,199,020,239.91
  5. Step 5: Solve for x
    x = 67,199,020,239.91/298,887.36
  6. Step 6: Final answer
    x = 224,830.59

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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.