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Finding the Fourth Proportional to 470,196.82, 648,911.82 and 266,283.78

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Solution

The fourth proportional to 470,196.82, 648,911.82 and 266,283.78 is: 367,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,196.82 : 648,911.82 = 266,283.78 : x
  2. Step 2: Convert to fraction form
    470,196.82/648,911.82 = 266,283.78/x
  3. Step 3: Cross multiply
    470,196.82x = 648,911.82 × 266,283.78
  4. Step 4: Simplify right side
    470,196.82x = 172,794,692,316.28
  5. Step 5: Solve for x
    x = 172,794,692,316.28/470,196.82
  6. Step 6: Final answer
    x = 367,494.39

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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.