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Finding the Fourth Proportional to 227,917.60, 342,459.60 and 202,256.80

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Solution

The fourth proportional to 227,917.60, 342,459.60 and 202,256.80 is: 303,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,917.60 : 342,459.60 = 202,256.80 : x
  2. Step 2: Convert to fraction form
    227,917.60/342,459.60 = 202,256.80/x
  3. Step 3: Cross multiply
    227,917.60x = 342,459.60 × 202,256.80
  4. Step 4: Simplify right side
    227,917.60x = 69,264,782,825.28
  5. Step 5: Solve for x
    x = 69,264,782,825.28/227,917.60
  6. Step 6: Final answer
    x = 303,902.74

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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.