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Finding the Fourth Proportional to 379,812.92, 523,795.02 and 326,080.76

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Solution

The fourth proportional to 379,812.92, 523,795.02 and 326,080.76 is: 449,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,812.92 : 523,795.02 = 326,080.76 : x
  2. Step 2: Convert to fraction form
    379,812.92/523,795.02 = 326,080.76/x
  3. Step 3: Cross multiply
    379,812.92x = 523,795.02 × 326,080.76
  4. Step 4: Simplify right side
    379,812.92x = 170,799,478,205.82
  5. Step 5: Solve for x
    x = 170,799,478,205.82/379,812.92
  6. Step 6: Final answer
    x = 449,693.70

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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.