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Finding the Fourth Proportional to 466,830.40, 698,690.40 and 410,843.20

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Solution

The fourth proportional to 466,830.40, 698,690.40 and 410,843.20 is: 614,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,830.40 : 698,690.40 = 410,843.20 : x
  2. Step 2: Convert to fraction form
    466,830.40/698,690.40 = 410,843.20/x
  3. Step 3: Cross multiply
    466,830.40x = 698,690.40 × 410,843.20
  4. Step 4: Simplify right side
    466,830.40x = 287,052,199,745.28
  5. Step 5: Solve for x
    x = 287,052,199,745.28/466,830.40
  6. Step 6: Final answer
    x = 614,896.12

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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.