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Finding the Fourth Proportional to 475,213.80, 711,827.10 and 222,709.80

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Solution

The fourth proportional to 475,213.80, 711,827.10 and 222,709.80 is: 333,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,213.80 : 711,827.10 = 222,709.80 : x
  2. Step 2: Convert to fraction form
    475,213.80/711,827.10 = 222,709.80/x
  3. Step 3: Cross multiply
    475,213.80x = 711,827.10 × 222,709.80
  4. Step 4: Simplify right side
    475,213.80x = 158,530,871,075.58
  5. Step 5: Solve for x
    x = 158,530,871,075.58/475,213.80
  6. Step 6: Final answer
    x = 333,599.05

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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.