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Finding the Fourth Proportional to 452,013.34, 677,757.48 and 171,377.50

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Solution

The fourth proportional to 452,013.34, 677,757.48 and 171,377.50 is: 256,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,013.34 : 677,757.48 = 171,377.50 : x
  2. Step 2: Convert to fraction form
    452,013.34/677,757.48 = 171,377.50/x
  3. Step 3: Cross multiply
    452,013.34x = 677,757.48 × 171,377.50
  4. Step 4: Simplify right side
    452,013.34x = 116,152,382,528.70
  5. Step 5: Solve for x
    x = 116,152,382,528.70/452,013.34
  6. Step 6: Final answer
    x = 256,966.71

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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.