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Finding the Fourth Proportional to 264,830.60, 397,197.30 and 164,811.80

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Solution

The fourth proportional to 264,830.60, 397,197.30 and 164,811.80 is: 247,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,830.60 : 397,197.30 = 164,811.80 : x
  2. Step 2: Convert to fraction form
    264,830.60/397,197.30 = 164,811.80/x
  3. Step 3: Cross multiply
    264,830.60x = 397,197.30 × 164,811.80
  4. Step 4: Simplify right side
    264,830.60x = 65,462,801,968.14
  5. Step 5: Solve for x
    x = 65,462,801,968.14/264,830.60
  6. Step 6: Final answer
    x = 247,187.45

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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.