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Finding the Fourth Proportional to 346,082.42, 477,593.70 and 195,179.42

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Solution

The fourth proportional to 346,082.42, 477,593.70 and 195,179.42 is: 269,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,082.42 : 477,593.70 = 195,179.42 : x
  2. Step 2: Convert to fraction form
    346,082.42/477,593.70 = 195,179.42/x
  3. Step 3: Cross multiply
    346,082.42x = 477,593.70 × 195,179.42
  4. Step 4: Simplify right side
    346,082.42x = 93,216,461,361.65
  5. Step 5: Solve for x
    x = 93,216,461,361.65/346,082.42
  6. Step 6: Final answer
    x = 269,347.58

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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.