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Finding the Fourth Proportional to 470,274.46, 705,231.16 and 200,231.38

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Solution

The fourth proportional to 470,274.46, 705,231.16 and 200,231.38 is: 300,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,274.46 : 705,231.16 = 200,231.38 : x
  2. Step 2: Convert to fraction form
    470,274.46/705,231.16 = 200,231.38/x
  3. Step 3: Cross multiply
    470,274.46x = 705,231.16 × 200,231.38
  4. Step 4: Simplify right side
    470,274.46x = 141,209,408,385.80
  5. Step 5: Solve for x
    x = 141,209,408,385.80/470,274.46
  6. Step 6: Final answer
    x = 300,270.20

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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.