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Finding the Fourth Proportional to 307,263, 424,022.94 and 165,951

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Solution

The fourth proportional to 307,263, 424,022.94 and 165,951 is: 229,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,263 : 424,022.94 = 165,951 : x
  2. Step 2: Convert to fraction form
    307,263/424,022.94 = 165,951/x
  3. Step 3: Cross multiply
    307,263x = 424,022.94 × 165,951
  4. Step 4: Simplify right side
    307,263x = 70,367,030,915.94
  5. Step 5: Solve for x
    x = 70,367,030,915.94/307,263
  6. Step 6: Final answer
    x = 229,012.38

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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.