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Finding the Fourth Proportional to 524,208.16, 784,978.17 and 346,448.80

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Solution

The fourth proportional to 524,208.16, 784,978.17 and 346,448.80 is: 518,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,208.16 : 784,978.17 = 346,448.80 : x
  2. Step 2: Convert to fraction form
    524,208.16/784,978.17 = 346,448.80/x
  3. Step 3: Cross multiply
    524,208.16x = 784,978.17 × 346,448.80
  4. Step 4: Simplify right side
    524,208.16x = 271,954,745,022.70
  5. Step 5: Solve for x
    x = 271,954,745,022.70/524,208.16
  6. Step 6: Final answer
    x = 518,791.51

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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.