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Finding the Fourth Proportional to 492,853, 680,137.38 and 266,498.44

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Solution

The fourth proportional to 492,853, 680,137.38 and 266,498.44 is: 367,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,853 : 680,137.38 = 266,498.44 : x
  2. Step 2: Convert to fraction form
    492,853/680,137.38 = 266,498.44/x
  3. Step 3: Cross multiply
    492,853x = 680,137.38 × 266,498.44
  4. Step 4: Simplify right side
    492,853x = 181,255,550,755.69
  5. Step 5: Solve for x
    x = 181,255,550,755.69/492,853
  6. Step 6: Final answer
    x = 367,767.98

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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.