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Finding the Fourth Proportional to 511,779.72, 706,257.24 and 285,439.80

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Solution

The fourth proportional to 511,779.72, 706,257.24 and 285,439.80 is: 393,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,779.72 : 706,257.24 = 285,439.80 : x
  2. Step 2: Convert to fraction form
    511,779.72/706,257.24 = 285,439.80/x
  3. Step 3: Cross multiply
    511,779.72x = 706,257.24 × 285,439.80
  4. Step 4: Simplify right side
    511,779.72x = 201,593,925,334.15
  5. Step 5: Solve for x
    x = 201,593,925,334.15/511,779.72
  6. Step 6: Final answer
    x = 393,907.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.