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Finding the Fourth Proportional to 334,629.42, 501,907.41 and 97,974.42

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Solution

The fourth proportional to 334,629.42, 501,907.41 and 97,974.42 is: 146,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,629.42 : 501,907.41 = 97,974.42 : x
  2. Step 2: Convert to fraction form
    334,629.42/501,907.41 = 97,974.42/x
  3. Step 3: Cross multiply
    334,629.42x = 501,907.41 × 97,974.42
  4. Step 4: Simplify right side
    334,629.42x = 49,174,087,388.45
  5. Step 5: Solve for x
    x = 49,174,087,388.45/334,629.42
  6. Step 6: Final answer
    x = 146,950.88

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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.