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Finding the Fourth Proportional to 511,863.96, 767,074.20 and 241,703.88

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Solution

The fourth proportional to 511,863.96, 767,074.20 and 241,703.88 is: 362,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,863.96 : 767,074.20 = 241,703.88 : x
  2. Step 2: Convert to fraction form
    511,863.96/767,074.20 = 241,703.88/x
  3. Step 3: Cross multiply
    511,863.96x = 767,074.20 × 241,703.88
  4. Step 4: Simplify right side
    511,863.96x = 185,404,810,387.90
  5. Step 5: Solve for x
    x = 185,404,810,387.90/511,863.96
  6. Step 6: Final answer
    x = 362,215.01

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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.