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Finding the Fourth Proportional to 328,221.76, 452,772.42 and 226,071.54

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Solution

The fourth proportional to 328,221.76, 452,772.42 and 226,071.54 is: 311,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,221.76 : 452,772.42 = 226,071.54 : x
  2. Step 2: Convert to fraction form
    328,221.76/452,772.42 = 226,071.54/x
  3. Step 3: Cross multiply
    328,221.76x = 452,772.42 × 226,071.54
  4. Step 4: Simplify right side
    328,221.76x = 102,358,958,258.93
  5. Step 5: Solve for x
    x = 102,358,958,258.93/328,221.76
  6. Step 6: Final answer
    x = 311,859.15

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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.