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Finding the Fourth Proportional to 328,163, 452,865.12 and 177,260

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Solution

The fourth proportional to 328,163, 452,865.12 and 177,260 is: 244,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,163 : 452,865.12 = 177,260 : x
  2. Step 2: Convert to fraction form
    328,163/452,865.12 = 177,260/x
  3. Step 3: Cross multiply
    328,163x = 452,865.12 × 177,260
  4. Step 4: Simplify right side
    328,163x = 80,274,871,171.20
  5. Step 5: Solve for x
    x = 80,274,871,171.20/328,163
  6. Step 6: Final answer
    x = 244,618.90

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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.