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Finding the Fourth Proportional to 415,874.53, 623,295 and 190,996.39

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Solution

The fourth proportional to 415,874.53, 623,295 and 190,996.39 is: 286,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,874.53 : 623,295 = 190,996.39 : x
  2. Step 2: Convert to fraction form
    415,874.53/623,295 = 190,996.39/x
  3. Step 3: Cross multiply
    415,874.53x = 623,295 × 190,996.39
  4. Step 4: Simplify right side
    415,874.53x = 119,047,094,905.05
  5. Step 5: Solve for x
    x = 119,047,094,905.05/415,874.53
  6. Step 6: Final answer
    x = 286,257.24

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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.