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Finding the Fourth Proportional to 466,537, 699,749.94 and 274,526.20

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Solution

The fourth proportional to 466,537, 699,749.94 and 274,526.20 is: 411,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,537 : 699,749.94 = 274,526.20 : x
  2. Step 2: Convert to fraction form
    466,537/699,749.94 = 274,526.20/x
  3. Step 3: Cross multiply
    466,537x = 699,749.94 × 274,526.20
  4. Step 4: Simplify right side
    466,537x = 192,099,691,978.43
  5. Step 5: Solve for x
    x = 192,099,691,978.43/466,537
  6. Step 6: Final answer
    x = 411,756.61

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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.