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Finding the Fourth Proportional to 302,780.75, 417,817.37 and 181,927.13

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Solution

The fourth proportional to 302,780.75, 417,817.37 and 181,927.13 is: 251,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,780.75 : 417,817.37 = 181,927.13 : x
  2. Step 2: Convert to fraction form
    302,780.75/417,817.37 = 181,927.13/x
  3. Step 3: Cross multiply
    302,780.75x = 417,817.37 × 181,927.13
  4. Step 4: Simplify right side
    302,780.75x = 76,012,313,353.98
  5. Step 5: Solve for x
    x = 76,012,313,353.98/302,780.75
  6. Step 6: Final answer
    x = 251,047.38

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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.