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Finding the Fourth Proportional to 295,796.40, 443,986.20 and 146,205.60

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Solution

The fourth proportional to 295,796.40, 443,986.20 and 146,205.60 is: 219,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,796.40 : 443,986.20 = 146,205.60 : x
  2. Step 2: Convert to fraction form
    295,796.40/443,986.20 = 146,205.60/x
  3. Step 3: Cross multiply
    295,796.40x = 443,986.20 × 146,205.60
  4. Step 4: Simplify right side
    295,796.40x = 64,913,268,762.72
  5. Step 5: Solve for x
    x = 64,913,268,762.72/295,796.40
  6. Step 6: Final answer
    x = 219,452.53

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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.