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Finding the Fourth Proportional to 333,190.44, 459,862 and 197,299.82

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Solution

The fourth proportional to 333,190.44, 459,862 and 197,299.82 is: 272,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,190.44 : 459,862 = 197,299.82 : x
  2. Step 2: Convert to fraction form
    333,190.44/459,862 = 197,299.82/x
  3. Step 3: Cross multiply
    333,190.44x = 459,862 × 197,299.82
  4. Step 4: Simplify right side
    333,190.44x = 90,730,689,824.84
  5. Step 5: Solve for x
    x = 90,730,689,824.84/333,190.44
  6. Step 6: Final answer
    x = 272,308.80

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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.