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Finding the Fourth Proportional to 470,500.66, 705,354.27 and 204,060.50

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Solution

The fourth proportional to 470,500.66, 705,354.27 and 204,060.50 is: 305,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,500.66 : 705,354.27 = 204,060.50 : x
  2. Step 2: Convert to fraction form
    470,500.66/705,354.27 = 204,060.50/x
  3. Step 3: Cross multiply
    470,500.66x = 705,354.27 × 204,060.50
  4. Step 4: Simplify right side
    470,500.66x = 143,934,945,013.34
  5. Step 5: Solve for x
    x = 143,934,945,013.34/470,500.66
  6. Step 6: Final answer
    x = 305,918.69

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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.