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Finding the Fourth Proportional to 452,275.25, 678,391.00 and 171,770.63

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Solution

The fourth proportional to 452,275.25, 678,391.00 and 171,770.63 is: 257,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,275.25 : 678,391.00 = 171,770.63 : x
  2. Step 2: Convert to fraction form
    452,275.25/678,391.00 = 171,770.63/x
  3. Step 3: Cross multiply
    452,275.25x = 678,391.00 × 171,770.63
  4. Step 4: Simplify right side
    452,275.25x = 116,527,645,634.95
  5. Step 5: Solve for x
    x = 116,527,645,634.95/452,275.25
  6. Step 6: Final answer
    x = 257,647.63

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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.