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Finding the Fourth Proportional to 328,165, 452,867.88 and 177,262

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Solution

The fourth proportional to 328,165, 452,867.88 and 177,262 is: 244,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,165 : 452,867.88 = 177,262 : x
  2. Step 2: Convert to fraction form
    328,165/452,867.88 = 177,262/x
  3. Step 3: Cross multiply
    328,165x = 452,867.88 × 177,262
  4. Step 4: Simplify right side
    328,165x = 80,276,266,144.56
  5. Step 5: Solve for x
    x = 80,276,266,144.56/328,165
  6. Step 6: Final answer
    x = 244,621.66

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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.