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Finding the Fourth Proportional to 705,709.44, 1,058,562 and 284,980.32

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Solution

The fourth proportional to 705,709.44, 1,058,562 and 284,980.32 is: 427,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,709.44 : 1,058,562 = 284,980.32 : x
  2. Step 2: Convert to fraction form
    705,709.44/1,058,562 = 284,980.32/x
  3. Step 3: Cross multiply
    705,709.44x = 1,058,562 × 284,980.32
  4. Step 4: Simplify right side
    705,709.44x = 301,669,337,499.84
  5. Step 5: Solve for x
    x = 301,669,337,499.84/705,709.44
  6. Step 6: Final answer
    x = 427,469.61

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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.