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Finding the Fourth Proportional to 565,899.78, 780,546.27 and 384,296.43

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Solution

The fourth proportional to 565,899.78, 780,546.27 and 384,296.43 is: 530,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,899.78 : 780,546.27 = 384,296.43 : x
  2. Step 2: Convert to fraction form
    565,899.78/780,546.27 = 384,296.43/x
  3. Step 3: Cross multiply
    565,899.78x = 780,546.27 × 384,296.43
  4. Step 4: Simplify right side
    565,899.78x = 299,961,145,010.82
  5. Step 5: Solve for x
    x = 299,961,145,010.82/565,899.78
  6. Step 6: Final answer
    x = 530,060.54

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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.