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Finding the Fourth Proportional to 511,449.93, 767,205.63 and 156,467.03

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Solution

The fourth proportional to 511,449.93, 767,205.63 and 156,467.03 is: 234,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,449.93 : 767,205.63 = 156,467.03 : x
  2. Step 2: Convert to fraction form
    511,449.93/767,205.63 = 156,467.03/x
  3. Step 3: Cross multiply
    511,449.93x = 767,205.63 × 156,467.03
  4. Step 4: Simplify right side
    511,449.93x = 120,042,382,489.35
  5. Step 5: Solve for x
    x = 120,042,382,489.35/511,449.93
  6. Step 6: Final answer
    x = 234,709.94

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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.