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Finding the Fourth Proportional to 470,195.82, 648,910.44 and 266,282.78

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Solution

The fourth proportional to 470,195.82, 648,910.44 and 266,282.78 is: 367,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,195.82 : 648,910.44 = 266,282.78 : x
  2. Step 2: Convert to fraction form
    470,195.82/648,910.44 = 266,282.78/x
  3. Step 3: Cross multiply
    470,195.82x = 648,910.44 × 266,282.78
  4. Step 4: Simplify right side
    470,195.82x = 172,793,672,689.67
  5. Step 5: Solve for x
    x = 172,793,672,689.67/470,195.82
  6. Step 6: Final answer
    x = 367,493.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.