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Finding the Fourth Proportional to 264,829.60, 397,195.80 and 164,810.80

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Solution

The fourth proportional to 264,829.60, 397,195.80 and 164,810.80 is: 247,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.60 : 397,195.80 = 164,810.80 : x
  2. Step 2: Convert to fraction form
    264,829.60/397,195.80 = 164,810.80/x
  3. Step 3: Cross multiply
    264,829.60x = 397,195.80 × 164,810.80
  4. Step 4: Simplify right side
    264,829.60x = 65,462,157,554.64
  5. Step 5: Solve for x
    x = 65,462,157,554.64/264,829.60
  6. Step 6: Final answer
    x = 247,185.95

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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.