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Finding the Fourth Proportional to 219,323.40, 328,960.80 and 179,811.60

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Solution

The fourth proportional to 219,323.40, 328,960.80 and 179,811.60 is: 269,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323.40 : 328,960.80 = 179,811.60 : x
  2. Step 2: Convert to fraction form
    219,323.40/328,960.80 = 179,811.60/x
  3. Step 3: Cross multiply
    219,323.40x = 328,960.80 × 179,811.60
  4. Step 4: Simplify right side
    219,323.40x = 59,150,967,785.28
  5. Step 5: Solve for x
    x = 59,150,967,785.28/219,323.40
  6. Step 6: Final answer
    x = 269,697.48

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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.