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Finding the Fourth Proportional to 470,564.20, 705,846.30 and 133,604.20

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Solution

The fourth proportional to 470,564.20, 705,846.30 and 133,604.20 is: 200,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,564.20 : 705,846.30 = 133,604.20 : x
  2. Step 2: Convert to fraction form
    470,564.20/705,846.30 = 133,604.20/x
  3. Step 3: Cross multiply
    470,564.20x = 705,846.30 × 133,604.20
  4. Step 4: Simplify right side
    470,564.20x = 94,304,030,234.46
  5. Step 5: Solve for x
    x = 94,304,030,234.46/470,564.20
  6. Step 6: Final answer
    x = 200,406.30

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Similar ratio
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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.