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Finding the Fourth Proportional to 228,410.28, 314,913.42 and 177,336.54

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Solution

The fourth proportional to 228,410.28, 314,913.42 and 177,336.54 is: 244,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,410.28 : 314,913.42 = 177,336.54 : x
  2. Step 2: Convert to fraction form
    228,410.28/314,913.42 = 177,336.54/x
  3. Step 3: Cross multiply
    228,410.28x = 314,913.42 × 177,336.54
  4. Step 4: Simplify right side
    228,410.28x = 55,845,656,302.37
  5. Step 5: Solve for x
    x = 55,845,656,302.37/228,410.28
  6. Step 6: Final answer
    x = 244,497.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.