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Finding the Fourth Proportional to 297,133.44, 410,042.88 and 162,994.56

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Solution

The fourth proportional to 297,133.44, 410,042.88 and 162,994.56 is: 224,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,133.44 : 410,042.88 = 162,994.56 : x
  2. Step 2: Convert to fraction form
    297,133.44/410,042.88 = 162,994.56/x
  3. Step 3: Cross multiply
    297,133.44x = 410,042.88 × 162,994.56
  4. Step 4: Simplify right side
    297,133.44x = 66,834,758,806.73
  5. Step 5: Solve for x
    x = 66,834,758,806.73/297,133.44
  6. Step 6: Final answer
    x = 224,931.80

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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.