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Finding the Fourth Proportional to 415,264.40, 622,896.60 and 411,327.80

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Solution

The fourth proportional to 415,264.40, 622,896.60 and 411,327.80 is: 616,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,264.40 : 622,896.60 = 411,327.80 : x
  2. Step 2: Convert to fraction form
    415,264.40/622,896.60 = 411,327.80/x
  3. Step 3: Cross multiply
    415,264.40x = 622,896.60 × 411,327.80
  4. Step 4: Simplify right side
    415,264.40x = 256,214,688,105.48
  5. Step 5: Solve for x
    x = 256,214,688,105.48/415,264.40
  6. Step 6: Final answer
    x = 616,991.70

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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.