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Finding the Fourth Proportional to 466,544.40, 698,504.40 and 419,305.20

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Solution

The fourth proportional to 466,544.40, 698,504.40 and 419,305.20 is: 627,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,544.40 : 698,504.40 = 419,305.20 : x
  2. Step 2: Convert to fraction form
    466,544.40/698,504.40 = 419,305.20/x
  3. Step 3: Cross multiply
    466,544.40x = 698,504.40 × 419,305.20
  4. Step 4: Simplify right side
    466,544.40x = 292,886,527,142.88
  5. Step 5: Solve for x
    x = 292,886,527,142.88/466,544.40
  6. Step 6: Final answer
    x = 627,778.46

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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.