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Finding the Fourth Proportional to 541,924.68, 747,855.96 and 300,222.96

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Solution

The fourth proportional to 541,924.68, 747,855.96 and 300,222.96 is: 414,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,924.68 : 747,855.96 = 300,222.96 : x
  2. Step 2: Convert to fraction form
    541,924.68/747,855.96 = 300,222.96/x
  3. Step 3: Cross multiply
    541,924.68x = 747,855.96 × 300,222.96
  4. Step 4: Simplify right side
    541,924.68x = 224,523,529,964.84
  5. Step 5: Solve for x
    x = 224,523,529,964.84/541,924.68
  6. Step 6: Final answer
    x = 414,307.63

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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.