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Finding the Fourth Proportional to 298,698.97, 412,203.34 and 162,732.50

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Solution

The fourth proportional to 298,698.97, 412,203.34 and 162,732.50 is: 224,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,698.97 : 412,203.34 = 162,732.50 : x
  2. Step 2: Convert to fraction form
    298,698.97/412,203.34 = 162,732.50/x
  3. Step 3: Cross multiply
    298,698.97x = 412,203.34 × 162,732.50
  4. Step 4: Simplify right side
    298,698.97x = 67,078,877,151.87
  5. Step 5: Solve for x
    x = 67,078,877,151.87/298,698.97
  6. Step 6: Final answer
    x = 224,570.17

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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.