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Finding the Fourth Proportional to 470,771.91, 705,994.23 and 200,889.15

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Solution

The fourth proportional to 470,771.91, 705,994.23 and 200,889.15 is: 301,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,771.91 : 705,994.23 = 200,889.15 : x
  2. Step 2: Convert to fraction form
    470,771.91/705,994.23 = 200,889.15/x
  3. Step 3: Cross multiply
    470,771.91x = 705,994.23 × 200,889.15
  4. Step 4: Simplify right side
    470,771.91x = 141,826,580,769.61
  5. Step 5: Solve for x
    x = 141,826,580,769.61/470,771.91
  6. Step 6: Final answer
    x = 301,263.90

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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.