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Finding the Fourth Proportional to 329,784.60, 494,716.32 and 116,508.36

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Solution

The fourth proportional to 329,784.60, 494,716.32 and 116,508.36 is: 174,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,784.60 : 494,716.32 = 116,508.36 : x
  2. Step 2: Convert to fraction form
    329,784.60/494,716.32 = 116,508.36/x
  3. Step 3: Cross multiply
    329,784.60x = 494,716.32 × 116,508.36
  4. Step 4: Simplify right side
    329,784.60x = 57,638,587,108.44
  5. Step 5: Solve for x
    x = 57,638,587,108.44/329,784.60
  6. Step 6: Final answer
    x = 174,776.47

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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.