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Finding the Fourth Proportional to 346,147.76, 477,706.20 and 195,241.52

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Solution

The fourth proportional to 346,147.76, 477,706.20 and 195,241.52 is: 269,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,147.76 : 477,706.20 = 195,241.52 : x
  2. Step 2: Convert to fraction form
    346,147.76/477,706.20 = 195,241.52/x
  3. Step 3: Cross multiply
    346,147.76x = 477,706.20 × 195,241.52
  4. Step 4: Simplify right side
    346,147.76x = 93,268,084,601.42
  5. Step 5: Solve for x
    x = 93,268,084,601.42/346,147.76
  6. Step 6: Final answer
    x = 269,445.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.