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Finding the Fourth Proportional to 541,193.26, 746,925.93 and 311,706.43

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Solution

The fourth proportional to 541,193.26, 746,925.93 and 311,706.43 is: 430,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,193.26 : 746,925.93 = 311,706.43 : x
  2. Step 2: Convert to fraction form
    541,193.26/746,925.93 = 311,706.43/x
  3. Step 3: Cross multiply
    541,193.26x = 746,925.93 × 311,706.43
  4. Step 4: Simplify right side
    541,193.26x = 232,821,615,114.73
  5. Step 5: Solve for x
    x = 232,821,615,114.73/541,193.26
  6. Step 6: Final answer
    x = 430,200.51

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Why These Related Problems?

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