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Finding the Fourth Proportional to 470,899.76, 705,573.23 and 271,387.85

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Solution

The fourth proportional to 470,899.76, 705,573.23 and 271,387.85 is: 406,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,899.76 : 705,573.23 = 271,387.85 : x
  2. Step 2: Convert to fraction form
    470,899.76/705,573.23 = 271,387.85/x
  3. Step 3: Cross multiply
    470,899.76x = 705,573.23 × 271,387.85
  4. Step 4: Simplify right side
    470,899.76x = 191,483,997,022.45
  5. Step 5: Solve for x
    x = 191,483,997,022.45/470,899.76
  6. Step 6: Final answer
    x = 406,634.31

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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.