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Finding the Fourth Proportional to 408,094.60, 611,923.20 and 171,169.60

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Solution

The fourth proportional to 408,094.60, 611,923.20 and 171,169.60 is: 256,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,094.60 : 611,923.20 = 171,169.60 : x
  2. Step 2: Convert to fraction form
    408,094.60/611,923.20 = 171,169.60/x
  3. Step 3: Cross multiply
    408,094.60x = 611,923.20 × 171,169.60
  4. Step 4: Simplify right side
    408,094.60x = 104,742,649,374.72
  5. Step 5: Solve for x
    x = 104,742,649,374.72/408,094.60
  6. Step 6: Final answer
    x = 256,662.67

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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.