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Finding the Fourth Proportional to 678,814, 936,782.76 and 377,027.44

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Solution

The fourth proportional to 678,814, 936,782.76 and 377,027.44 is: 520,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,814 : 936,782.76 = 377,027.44 : x
  2. Step 2: Convert to fraction form
    678,814/936,782.76 = 377,027.44/x
  3. Step 3: Cross multiply
    678,814x = 936,782.76 × 377,027.44
  4. Step 4: Simplify right side
    678,814x = 353,192,805,838.93
  5. Step 5: Solve for x
    x = 353,192,805,838.93/678,814
  6. Step 6: Final answer
    x = 520,308.66

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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.