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Finding the Fourth Proportional to 297,546.21, 410,409.99 and 190,068.53

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Solution

The fourth proportional to 297,546.21, 410,409.99 and 190,068.53 is: 262,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,546.21 : 410,409.99 = 190,068.53 : x
  2. Step 2: Convert to fraction form
    297,546.21/410,409.99 = 190,068.53/x
  3. Step 3: Cross multiply
    297,546.21x = 410,409.99 × 190,068.53
  4. Step 4: Simplify right side
    297,546.21x = 78,006,021,444.56
  5. Step 5: Solve for x
    x = 78,006,021,444.56/297,546.21
  6. Step 6: Final answer
    x = 262,164.39

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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.