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Finding the Fourth Proportional to 445,917.60, 668,978.57 and 193,240.50

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Solution

The fourth proportional to 445,917.60, 668,978.57 and 193,240.50 is: 289,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,917.60 : 668,978.57 = 193,240.50 : x
  2. Step 2: Convert to fraction form
    445,917.60/668,978.57 = 193,240.50/x
  3. Step 3: Cross multiply
    445,917.60x = 668,978.57 × 193,240.50
  4. Step 4: Simplify right side
    445,917.60x = 129,273,752,389.88
  5. Step 5: Solve for x
    x = 129,273,752,389.88/445,917.60
  6. Step 6: Final answer
    x = 289,905.02

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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.