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Finding the Fourth Proportional to 524,208.29, 784,978.36 and 346,448.93

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Solution

The fourth proportional to 524,208.29, 784,978.36 and 346,448.93 is: 518,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,208.29 : 784,978.36 = 346,448.93 : x
  2. Step 2: Convert to fraction form
    524,208.29/784,978.36 = 346,448.93/x
  3. Step 3: Cross multiply
    524,208.29x = 784,978.36 × 346,448.93
  4. Step 4: Simplify right side
    524,208.29x = 271,954,908,104.14
  5. Step 5: Solve for x
    x = 271,954,908,104.14/524,208.29
  6. Step 6: Final answer
    x = 518,791.70

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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.