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Finding the Fourth Proportional to 298,529.70, 447,853.61 and 85,299.54

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Solution

The fourth proportional to 298,529.70, 447,853.61 and 85,299.54 is: 127,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,529.70 : 447,853.61 = 85,299.54 : x
  2. Step 2: Convert to fraction form
    298,529.70/447,853.61 = 85,299.54/x
  3. Step 3: Cross multiply
    298,529.70x = 447,853.61 × 85,299.54
  4. Step 4: Simplify right side
    298,529.70x = 38,201,706,920.34
  5. Step 5: Solve for x
    x = 38,201,706,920.34/298,529.70
  6. Step 6: Final answer
    x = 127,966.19

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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.