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Finding the Fourth Proportional to 705,846.80, 1,058,770.20 and 200,406.80

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Solution

The fourth proportional to 705,846.80, 1,058,770.20 and 200,406.80 is: 300,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,846.80 : 1,058,770.20 = 200,406.80 : x
  2. Step 2: Convert to fraction form
    705,846.80/1,058,770.20 = 200,406.80/x
  3. Step 3: Cross multiply
    705,846.80x = 1,058,770.20 × 200,406.80
  4. Step 4: Simplify right side
    705,846.80x = 212,184,747,717.36
  5. Step 5: Solve for x
    x = 212,184,747,717.36/705,846.80
  6. Step 6: Final answer
    x = 300,610.20

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Double scale
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Similar ratio
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1.5x scale

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.