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Finding the Fourth Proportional to 298,461.94, 411,746.70 and 196,356.04

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Solution

The fourth proportional to 298,461.94, 411,746.70 and 196,356.04 is: 270,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461.94 : 411,746.70 = 196,356.04 : x
  2. Step 2: Convert to fraction form
    298,461.94/411,746.70 = 196,356.04/x
  3. Step 3: Cross multiply
    298,461.94x = 411,746.70 × 196,356.04
  4. Step 4: Simplify right side
    298,461.94x = 80,848,951,495.07
  5. Step 5: Solve for x
    x = 80,848,951,495.07/298,461.94
  6. Step 6: Final answer
    x = 270,885.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.