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Finding the Fourth Proportional to 415,401.95, 573,255.23 and 224,415.36

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Solution

The fourth proportional to 415,401.95, 573,255.23 and 224,415.36 is: 309,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,401.95 : 573,255.23 = 224,415.36 : x
  2. Step 2: Convert to fraction form
    415,401.95/573,255.23 = 224,415.36/x
  3. Step 3: Cross multiply
    415,401.95x = 573,255.23 × 224,415.36
  4. Step 4: Simplify right side
    415,401.95x = 128,647,277,690.26
  5. Step 5: Solve for x
    x = 128,647,277,690.26/415,401.95
  6. Step 6: Final answer
    x = 309,693.48

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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.