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Finding the Fourth Proportional to 309,563.94, 464,392.04 and 109,867.60

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Solution

The fourth proportional to 309,563.94, 464,392.04 and 109,867.60 is: 164,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,563.94 : 464,392.04 = 109,867.60 : x
  2. Step 2: Convert to fraction form
    309,563.94/464,392.04 = 109,867.60/x
  3. Step 3: Cross multiply
    309,563.94x = 464,392.04 × 109,867.60
  4. Step 4: Simplify right side
    309,563.94x = 51,021,638,893.90
  5. Step 5: Solve for x
    x = 51,021,638,893.90/309,563.94
  6. Step 6: Final answer
    x = 164,817.77

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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.