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Finding the Fourth Proportional to 298,530.70, 447,855.11 and 85,300.54

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Solution

The fourth proportional to 298,530.70, 447,855.11 and 85,300.54 is: 127,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,530.70 : 447,855.11 = 85,300.54 : x
  2. Step 2: Convert to fraction form
    298,530.70/447,855.11 = 85,300.54/x
  3. Step 3: Cross multiply
    298,530.70x = 447,855.11 × 85,300.54
  4. Step 4: Simplify right side
    298,530.70x = 38,202,282,724.76
  5. Step 5: Solve for x
    x = 38,202,282,724.76/298,530.70
  6. Step 6: Final answer
    x = 127,967.69

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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.