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Finding the Fourth Proportional to 509,101.96, 702,519.60 and 294,255.94

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Solution

The fourth proportional to 509,101.96, 702,519.60 and 294,255.94 is: 406,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,101.96 : 702,519.60 = 294,255.94 : x
  2. Step 2: Convert to fraction form
    509,101.96/702,519.60 = 294,255.94/x
  3. Step 3: Cross multiply
    509,101.96x = 702,519.60 × 294,255.94
  4. Step 4: Simplify right side
    509,101.96x = 206,720,565,266.42
  5. Step 5: Solve for x
    x = 206,720,565,266.42/509,101.96
  6. Step 6: Final answer
    x = 406,049.44

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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.