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Finding the Fourth Proportional to 344,948, 476,028.12 and 194,045

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Solution

The fourth proportional to 344,948, 476,028.12 and 194,045 is: 267,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,948 : 476,028.12 = 194,045 : x
  2. Step 2: Convert to fraction form
    344,948/476,028.12 = 194,045/x
  3. Step 3: Cross multiply
    344,948x = 476,028.12 × 194,045
  4. Step 4: Simplify right side
    344,948x = 92,370,876,545.40
  5. Step 5: Solve for x
    x = 92,370,876,545.40/344,948
  6. Step 6: Final answer
    x = 267,782.03

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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.