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Finding the Fourth Proportional to 452,470.08, 678,792.56 and 171,965.46

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Solution

The fourth proportional to 452,470.08, 678,792.56 and 171,965.46 is: 257,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,470.08 : 678,792.56 = 171,965.46 : x
  2. Step 2: Convert to fraction form
    452,470.08/678,792.56 = 171,965.46/x
  3. Step 3: Cross multiply
    452,470.08x = 678,792.56 × 171,965.46
  4. Step 4: Simplify right side
    452,470.08x = 116,728,874,824.98
  5. Step 5: Solve for x
    x = 116,728,874,824.98/452,470.08
  6. Step 6: Final answer
    x = 257,981.42

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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.