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Finding the Fourth Proportional to 332,684.64, 501,271.55 and 274,816.08

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Solution

The fourth proportional to 332,684.64, 501,271.55 and 274,816.08 is: 414,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,684.64 : 501,271.55 = 274,816.08 : x
  2. Step 2: Convert to fraction form
    332,684.64/501,271.55 = 274,816.08/x
  3. Step 3: Cross multiply
    332,684.64x = 501,271.55 × 274,816.08
  4. Step 4: Simplify right side
    332,684.64x = 137,757,481,012.44
  5. Step 5: Solve for x
    x = 137,757,481,012.44/332,684.64
  6. Step 6: Final answer
    x = 414,078.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.