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Finding the Fourth Proportional to 298,961.60, 412,333.71 and 191,541.68

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Solution

The fourth proportional to 298,961.60, 412,333.71 and 191,541.68 is: 264,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,961.60 : 412,333.71 = 191,541.68 : x
  2. Step 2: Convert to fraction form
    298,961.60/412,333.71 = 191,541.68/x
  3. Step 3: Cross multiply
    298,961.60x = 412,333.71 × 191,541.68
  4. Step 4: Simplify right side
    298,961.60x = 78,979,091,534.03
  5. Step 5: Solve for x
    x = 78,979,091,534.03/298,961.60
  6. Step 6: Final answer
    x = 264,178.05

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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.