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Finding the Fourth Proportional to 561,225.64, 774,512.24 and 306,578.56

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Solution

The fourth proportional to 561,225.64, 774,512.24 and 306,578.56 is: 423,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,225.64 : 774,512.24 = 306,578.56 : x
  2. Step 2: Convert to fraction form
    561,225.64/774,512.24 = 306,578.56/x
  3. Step 3: Cross multiply
    561,225.64x = 774,512.24 × 306,578.56
  4. Step 4: Simplify right side
    561,225.64x = 237,448,847,241.57
  5. Step 5: Solve for x
    x = 237,448,847,241.57/561,225.64
  6. Step 6: Final answer
    x = 423,089.81

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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.