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Finding the Fourth Proportional to 462,096.75, 693,223.94 and 206,022.24

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Solution

The fourth proportional to 462,096.75, 693,223.94 and 206,022.24 is: 309,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,096.75 : 693,223.94 = 206,022.24 : x
  2. Step 2: Convert to fraction form
    462,096.75/693,223.94 = 206,022.24/x
  3. Step 3: Cross multiply
    462,096.75x = 693,223.94 × 206,022.24
  4. Step 4: Simplify right side
    462,096.75x = 142,819,549,455.48
  5. Step 5: Solve for x
    x = 142,819,549,455.48/462,096.75
  6. Step 6: Final answer
    x = 309,068.50

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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.