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Finding the Fourth Proportional to 423,042.51, 634,757.54 and 183,229.75

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Solution

The fourth proportional to 423,042.51, 634,757.54 and 183,229.75 is: 274,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,042.51 : 634,757.54 = 183,229.75 : x
  2. Step 2: Convert to fraction form
    423,042.51/634,757.54 = 183,229.75/x
  3. Step 3: Cross multiply
    423,042.51x = 634,757.54 × 183,229.75
  4. Step 4: Simplify right side
    423,042.51x = 116,306,467,542.70
  5. Step 5: Solve for x
    x = 116,306,467,542.70/423,042.51
  6. Step 6: Final answer
    x = 274,928.56

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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.