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Finding the Fourth Proportional to 524,212.71, 786,902.73 and 271,425.33

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Solution

The fourth proportional to 524,212.71, 786,902.73 and 271,425.33 is: 407,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,212.71 : 786,902.73 = 271,425.33 : x
  2. Step 2: Convert to fraction form
    524,212.71/786,902.73 = 271,425.33/x
  3. Step 3: Cross multiply
    524,212.71x = 786,902.73 × 271,425.33
  4. Step 4: Simplify right side
    524,212.71x = 213,585,333,168.15
  5. Step 5: Solve for x
    x = 213,585,333,168.15/524,212.71
  6. Step 6: Final answer
    x = 407,440.20

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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.