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Finding the Fourth Proportional to 453,770.82, 680,497.47 and 133,837.74

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Solution

The fourth proportional to 453,770.82, 680,497.47 and 133,837.74 is: 200,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,770.82 : 680,497.47 = 133,837.74 : x
  2. Step 2: Convert to fraction form
    453,770.82/680,497.47 = 133,837.74/x
  3. Step 3: Cross multiply
    453,770.82x = 680,497.47 × 133,837.74
  4. Step 4: Simplify right side
    453,770.82x = 91,076,243,460.52
  5. Step 5: Solve for x
    x = 91,076,243,460.52/453,770.82
  6. Step 6: Final answer
    x = 200,709.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.