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Finding the Fourth Proportional to 460,116.82, 634,796.85 and 266,418.82

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Solution

The fourth proportional to 460,116.82, 634,796.85 and 266,418.82 is: 367,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,116.82 : 634,796.85 = 266,418.82 : x
  2. Step 2: Convert to fraction form
    460,116.82/634,796.85 = 266,418.82/x
  3. Step 3: Cross multiply
    460,116.82x = 634,796.85 × 266,418.82
  4. Step 4: Simplify right side
    460,116.82x = 169,121,824,542.73
  5. Step 5: Solve for x
    x = 169,121,824,542.73/460,116.82
  6. Step 6: Final answer
    x = 367,562.80

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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.