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Finding the Fourth Proportional to 381,706.40, 571,393.20 and 297,725.60

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Solution

The fourth proportional to 381,706.40, 571,393.20 and 297,725.60 is: 445,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,706.40 : 571,393.20 = 297,725.60 : x
  2. Step 2: Convert to fraction form
    381,706.40/571,393.20 = 297,725.60/x
  3. Step 3: Cross multiply
    381,706.40x = 571,393.20 × 297,725.60
  4. Step 4: Simplify right side
    381,706.40x = 170,118,383,305.92
  5. Step 5: Solve for x
    x = 170,118,383,305.92/381,706.40
  6. Step 6: Final answer
    x = 445,678.62

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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.