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Finding the Fourth Proportional to 307,805.46, 424,948.23 and 234,634.02

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Solution

The fourth proportional to 307,805.46, 424,948.23 and 234,634.02 is: 323,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,805.46 : 424,948.23 = 234,634.02 : x
  2. Step 2: Convert to fraction form
    307,805.46/424,948.23 = 234,634.02/x
  3. Step 3: Cross multiply
    307,805.46x = 424,948.23 × 234,634.02
  4. Step 4: Simplify right side
    307,805.46x = 99,707,311,496.78
  5. Step 5: Solve for x
    x = 99,707,311,496.78/307,805.46
  6. Step 6: Final answer
    x = 323,929.64

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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.