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Finding the Fourth Proportional to 415,380.48, 573,224.32 and 224,393.28

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Solution

The fourth proportional to 415,380.48, 573,224.32 and 224,393.28 is: 309,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,380.48 : 573,224.32 = 224,393.28 : x
  2. Step 2: Convert to fraction form
    415,380.48/573,224.32 = 224,393.28/x
  3. Step 3: Cross multiply
    415,380.48x = 573,224.32 × 224,393.28
  4. Step 4: Simplify right side
    415,380.48x = 128,627,685,340.57
  5. Step 5: Solve for x
    x = 128,627,685,340.57/415,380.48
  6. Step 6: Final answer
    x = 309,662.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.