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Finding the Fourth Proportional to 462,840.60, 694,124.82 and 196,599

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Solution

The fourth proportional to 462,840.60, 694,124.82 and 196,599 is: 294,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,840.60 : 694,124.82 = 196,599 : x
  2. Step 2: Convert to fraction form
    462,840.60/694,124.82 = 196,599/x
  3. Step 3: Cross multiply
    462,840.60x = 694,124.82 × 196,599
  4. Step 4: Simplify right side
    462,840.60x = 136,464,245,487.18
  5. Step 5: Solve for x
    x = 136,464,245,487.18/462,840.60
  6. Step 6: Final answer
    x = 294,840.70

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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.