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Finding the Fourth Proportional to 511,817.86, 706,308.72 and 285,463.36

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Solution

The fourth proportional to 511,817.86, 706,308.72 and 285,463.36 is: 393,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,817.86 : 706,308.72 = 285,463.36 : x
  2. Step 2: Convert to fraction form
    511,817.86/706,308.72 = 285,463.36/x
  3. Step 3: Cross multiply
    511,817.86x = 706,308.72 × 285,463.36
  4. Step 4: Simplify right side
    511,817.86x = 201,625,260,408.50
  5. Step 5: Solve for x
    x = 201,625,260,408.50/511,817.86
  6. Step 6: Final answer
    x = 393,939.48

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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.