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Finding the Fourth Proportional to 423,083.82, 634,029.05 and 233,629.49

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Solution

The fourth proportional to 423,083.82, 634,029.05 and 233,629.49 is: 350,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,083.82 : 634,029.05 = 233,629.49 : x
  2. Step 2: Convert to fraction form
    423,083.82/634,029.05 = 233,629.49/x
  3. Step 3: Cross multiply
    423,083.82x = 634,029.05 × 233,629.49
  4. Step 4: Simplify right side
    423,083.82x = 148,127,879,258.39
  5. Step 5: Solve for x
    x = 148,127,879,258.39/423,083.82
  6. Step 6: Final answer
    x = 350,114.73

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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.