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Finding the Fourth Proportional to 524,105.40, 784,343.70 and 313,894.20

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Solution

The fourth proportional to 524,105.40, 784,343.70 and 313,894.20 is: 469,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,105.40 : 784,343.70 = 313,894.20 : x
  2. Step 2: Convert to fraction form
    524,105.40/784,343.70 = 313,894.20/x
  3. Step 3: Cross multiply
    524,105.40x = 784,343.70 × 313,894.20
  4. Step 4: Simplify right side
    524,105.40x = 246,200,938,236.54
  5. Step 5: Solve for x
    x = 246,200,938,236.54/524,105.40
  6. Step 6: Final answer
    x = 469,754.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.