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Finding the Fourth Proportional to 333,333.20, 498,541.80 and 298,049.60

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Solution

The fourth proportional to 333,333.20, 498,541.80 and 298,049.60 is: 445,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,333.20 : 498,541.80 = 298,049.60 : x
  2. Step 2: Convert to fraction form
    333,333.20/498,541.80 = 298,049.60/x
  3. Step 3: Cross multiply
    333,333.20x = 498,541.80 × 298,049.60
  4. Step 4: Simplify right side
    333,333.20x = 148,590,184,073.28
  5. Step 5: Solve for x
    x = 148,590,184,073.28/333,333.20
  6. Step 6: Final answer
    x = 445,770.73

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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.