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Finding the Fourth Proportional to 569,314.08, 853,940.34 and 288,824.04

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Solution

The fourth proportional to 569,314.08, 853,940.34 and 288,824.04 is: 433,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,314.08 : 853,940.34 = 288,824.04 : x
  2. Step 2: Convert to fraction form
    569,314.08/853,940.34 = 288,824.04/x
  3. Step 3: Cross multiply
    569,314.08x = 853,940.34 × 288,824.04
  4. Step 4: Simplify right side
    569,314.08x = 246,638,498,917.77
  5. Step 5: Solve for x
    x = 246,638,498,917.77/569,314.08
  6. Step 6: Final answer
    x = 433,220.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.