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Finding the Fourth Proportional to 946,546.81, 1,418,978.22 and 347,370.82

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Solution

The fourth proportional to 946,546.81, 1,418,978.22 and 347,370.82 is: 520,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,546.81 : 1,418,978.22 = 347,370.82 : x
  2. Step 2: Convert to fraction form
    946,546.81/1,418,978.22 = 347,370.82/x
  3. Step 3: Cross multiply
    946,546.81x = 1,418,978.22 × 347,370.82
  4. Step 4: Simplify right side
    946,546.81x = 492,911,627,843.54
  5. Step 5: Solve for x
    x = 492,911,627,843.54/946,546.81
  6. Step 6: Final answer
    x = 520,747.23

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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.