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Finding the Fourth Proportional to 298,384.40, 447,722.40 and 140,585.60

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Solution

The fourth proportional to 298,384.40, 447,722.40 and 140,585.60 is: 210,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,384.40 : 447,722.40 = 140,585.60 : x
  2. Step 2: Convert to fraction form
    298,384.40/447,722.40 = 140,585.60/x
  3. Step 3: Cross multiply
    298,384.40x = 447,722.40 × 140,585.60
  4. Step 4: Simplify right side
    298,384.40x = 62,943,322,237.44
  5. Step 5: Solve for x
    x = 62,943,322,237.44/298,384.40
  6. Step 6: Final answer
    x = 210,947.09

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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.