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Finding the Fourth Proportional to 541,738.86, 747,724.02 and 360,458.42

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Solution

The fourth proportional to 541,738.86, 747,724.02 and 360,458.42 is: 497,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,738.86 : 747,724.02 = 360,458.42 : x
  2. Step 2: Convert to fraction form
    541,738.86/747,724.02 = 360,458.42/x
  3. Step 3: Cross multiply
    541,738.86x = 747,724.02 × 360,458.42
  4. Step 4: Simplify right side
    541,738.86x = 269,523,418,845.25
  5. Step 5: Solve for x
    x = 269,523,418,845.25/541,738.86
  6. Step 6: Final answer
    x = 497,515.39

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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.