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Finding the Fourth Proportional to 289,844.20, 434,563.80 and 171,454.60

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Solution

The fourth proportional to 289,844.20, 434,563.80 and 171,454.60 is: 257,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,844.20 : 434,563.80 = 171,454.60 : x
  2. Step 2: Convert to fraction form
    289,844.20/434,563.80 = 171,454.60/x
  3. Step 3: Cross multiply
    289,844.20x = 434,563.80 × 171,454.60
  4. Step 4: Simplify right side
    289,844.20x = 74,507,962,503.48
  5. Step 5: Solve for x
    x = 74,507,962,503.48/289,844.20
  6. Step 6: Final answer
    x = 257,062.11

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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.