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Finding the Fourth Proportional to 511,493.13, 767,212.43 and 156,507.39

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Solution

The fourth proportional to 511,493.13, 767,212.43 and 156,507.39 is: 234,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,493.13 : 767,212.43 = 156,507.39 : x
  2. Step 2: Convert to fraction form
    511,493.13/767,212.43 = 156,507.39/x
  3. Step 3: Cross multiply
    511,493.13x = 767,212.43 × 156,507.39
  4. Step 4: Simplify right side
    511,493.13x = 120,074,414,212.32
  5. Step 5: Solve for x
    x = 120,074,414,212.32/511,493.13
  6. Step 6: Final answer
    x = 234,752.74

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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.