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Finding the Fourth Proportional to 380,124.70, 524,573.48 and 205,694.90

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Solution

The fourth proportional to 380,124.70, 524,573.48 and 205,694.90 is: 283,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,124.70 : 524,573.48 = 205,694.90 : x
  2. Step 2: Convert to fraction form
    380,124.70/524,573.48 = 205,694.90/x
  3. Step 3: Cross multiply
    380,124.70x = 524,573.48 × 205,694.90
  4. Step 4: Simplify right side
    380,124.70x = 107,902,089,794.21
  5. Step 5: Solve for x
    x = 107,902,089,794.21/380,124.70
  6. Step 6: Final answer
    x = 283,859.72

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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.