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Finding the Fourth Proportional to 669,408.20, 923,947.36 and 411,347.66

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Solution

The fourth proportional to 669,408.20, 923,947.36 and 411,347.66 is: 567,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,408.20 : 923,947.36 = 411,347.66 : x
  2. Step 2: Convert to fraction form
    669,408.20/923,947.36 = 411,347.66/x
  3. Step 3: Cross multiply
    669,408.20x = 923,947.36 × 411,347.66
  4. Step 4: Simplify right side
    669,408.20x = 380,063,584,499.18
  5. Step 5: Solve for x
    x = 380,063,584,499.18/669,408.20
  6. Step 6: Final answer
    x = 567,760.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.