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Finding the Fourth Proportional to 328,164, 452,866.50 and 177,261

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Solution

The fourth proportional to 328,164, 452,866.50 and 177,261 is: 244,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,164 : 452,866.50 = 177,261 : x
  2. Step 2: Convert to fraction form
    328,164/452,866.50 = 177,261/x
  3. Step 3: Cross multiply
    328,164x = 452,866.50 × 177,261
  4. Step 4: Simplify right side
    328,164x = 80,275,568,656.50
  5. Step 5: Solve for x
    x = 80,275,568,656.50/328,164
  6. Step 6: Final answer
    x = 244,620.28

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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.