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Finding the Fourth Proportional to 511,452.23, 767,209.05 and 156,469.32

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Solution

The fourth proportional to 511,452.23, 767,209.05 and 156,469.32 is: 234,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,452.23 : 767,209.05 = 156,469.32 : x
  2. Step 2: Convert to fraction form
    511,452.23/767,209.05 = 156,469.32/x
  3. Step 3: Cross multiply
    511,452.23x = 767,209.05 × 156,469.32
  4. Step 4: Simplify right side
    511,452.23x = 120,044,678,351.35
  5. Step 5: Solve for x
    x = 120,044,678,351.35/511,452.23
  6. Step 6: Final answer
    x = 234,713.38

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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.