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Finding the Fourth Proportional to 568,915.24, 853,709.53 and 209,338.59

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Solution

The fourth proportional to 568,915.24, 853,709.53 and 209,338.59 is: 314,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,915.24 : 853,709.53 = 209,338.59 : x
  2. Step 2: Convert to fraction form
    568,915.24/853,709.53 = 209,338.59/x
  3. Step 3: Cross multiply
    568,915.24x = 853,709.53 × 209,338.59
  4. Step 4: Simplify right side
    568,915.24x = 178,714,349,279.76
  5. Step 5: Solve for x
    x = 178,714,349,279.76/568,915.24
  6. Step 6: Final answer
    x = 314,131.77

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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.