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Finding the Fourth Proportional to 328,167, 452,870.64 and 177,264

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Solution

The fourth proportional to 328,167, 452,870.64 and 177,264 is: 244,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,167 : 452,870.64 = 177,264 : x
  2. Step 2: Convert to fraction form
    328,167/452,870.64 = 177,264/x
  3. Step 3: Cross multiply
    328,167x = 452,870.64 × 177,264
  4. Step 4: Simplify right side
    328,167x = 80,277,661,128.96
  5. Step 5: Solve for x
    x = 80,277,661,128.96/328,167
  6. Step 6: Final answer
    x = 244,624.42

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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.