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Finding the Fourth Proportional to 308,632.90, 462,868.32 and 131,048.50

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Solution

The fourth proportional to 308,632.90, 462,868.32 and 131,048.50 is: 196,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,632.90 : 462,868.32 = 131,048.50 : x
  2. Step 2: Convert to fraction form
    308,632.90/462,868.32 = 131,048.50/x
  3. Step 3: Cross multiply
    308,632.90x = 462,868.32 × 131,048.50
  4. Step 4: Simplify right side
    308,632.90x = 60,658,199,033.52
  5. Step 5: Solve for x
    x = 60,658,199,033.52/308,632.90
  6. Step 6: Final answer
    x = 196,538.34

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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.