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Finding the Fourth Proportional to 522,266.42, 783,749.56 and 335,409.14

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Solution

The fourth proportional to 522,266.42, 783,749.56 and 335,409.14 is: 503,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,266.42 : 783,749.56 = 335,409.14 : x
  2. Step 2: Convert to fraction form
    522,266.42/783,749.56 = 335,409.14/x
  3. Step 3: Cross multiply
    522,266.42x = 783,749.56 × 335,409.14
  4. Step 4: Simplify right side
    522,266.42x = 262,876,765,894.98
  5. Step 5: Solve for x
    x = 262,876,765,894.98/522,266.42
  6. Step 6: Final answer
    x = 503,338.44

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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.