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Finding the Fourth Proportional to 470,186.36, 648,864.92 and 266,231.90

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Solution

The fourth proportional to 470,186.36, 648,864.92 and 266,231.90 is: 367,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,186.36 : 648,864.92 = 266,231.90 : x
  2. Step 2: Convert to fraction form
    470,186.36/648,864.92 = 266,231.90/x
  3. Step 3: Cross multiply
    470,186.36x = 648,864.92 × 266,231.90
  4. Step 4: Simplify right side
    470,186.36x = 172,748,540,494.95
  5. Step 5: Solve for x
    x = 172,748,540,494.95/470,186.36
  6. Step 6: Final answer
    x = 367,404.41

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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.