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Finding the Fourth Proportional to 389,627.60, 584,441.40 and 284,651.60

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Solution

The fourth proportional to 389,627.60, 584,441.40 and 284,651.60 is: 426,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,627.60 : 584,441.40 = 284,651.60 : x
  2. Step 2: Convert to fraction form
    389,627.60/584,441.40 = 284,651.60/x
  3. Step 3: Cross multiply
    389,627.60x = 584,441.40 × 284,651.60
  4. Step 4: Simplify right side
    389,627.60x = 166,362,179,616.24
  5. Step 5: Solve for x
    x = 166,362,179,616.24/389,627.60
  6. Step 6: Final answer
    x = 426,977.40

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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.