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Finding the Fourth Proportional to 511,268.96, 767,253.36 and 274,684.16

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Solution

The fourth proportional to 511,268.96, 767,253.36 and 274,684.16 is: 412,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,268.96 : 767,253.36 = 274,684.16 : x
  2. Step 2: Convert to fraction form
    511,268.96/767,253.36 = 274,684.16/x
  3. Step 3: Cross multiply
    511,268.96x = 767,253.36 × 274,684.16
  4. Step 4: Simplify right side
    511,268.96x = 210,752,344,698.78
  5. Step 5: Solve for x
    x = 210,752,344,698.78/511,268.96
  6. Step 6: Final answer
    x = 412,214.24

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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.