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Finding the Fourth Proportional to 512,951.67, 769,443.13 and 175,987.60

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Solution

The fourth proportional to 512,951.67, 769,443.13 and 175,987.60 is: 263,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,951.67 : 769,443.13 = 175,987.60 : x
  2. Step 2: Convert to fraction form
    512,951.67/769,443.13 = 175,987.60/x
  3. Step 3: Cross multiply
    512,951.67x = 769,443.13 × 175,987.60
  4. Step 4: Simplify right side
    512,951.67x = 135,412,445,058.03
  5. Step 5: Solve for x
    x = 135,412,445,058.03/512,951.67
  6. Step 6: Final answer
    x = 263,986.75

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1.5x scale

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.