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Finding the Fourth Proportional to 328,097, 452,773.96 and 177,194

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Solution

The fourth proportional to 328,097, 452,773.96 and 177,194 is: 244,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,097 : 452,773.96 = 177,194 : x
  2. Step 2: Convert to fraction form
    328,097/452,773.96 = 177,194/x
  3. Step 3: Cross multiply
    328,097x = 452,773.96 × 177,194
  4. Step 4: Simplify right side
    328,097x = 80,228,829,068.24
  5. Step 5: Solve for x
    x = 80,228,829,068.24/328,097
  6. Step 6: Final answer
    x = 244,527.77

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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.