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Finding the Fourth Proportional to 403,713.26, 557,124.30 and 224,865.26

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Solution

The fourth proportional to 403,713.26, 557,124.30 and 224,865.26 is: 310,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,713.26 : 557,124.30 = 224,865.26 : x
  2. Step 2: Convert to fraction form
    403,713.26/557,124.30 = 224,865.26/x
  3. Step 3: Cross multiply
    403,713.26x = 557,124.30 × 224,865.26
  4. Step 4: Simplify right side
    403,713.26x = 125,277,900,571.82
  5. Step 5: Solve for x
    x = 125,277,900,571.82/403,713.26
  6. Step 6: Final answer
    x = 310,314.06

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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.