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Finding the Fourth Proportional to 301,894.35, 416,580.73 and 181,040.73

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Solution

The fourth proportional to 301,894.35, 416,580.73 and 181,040.73 is: 249,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,894.35 : 416,580.73 = 181,040.73 : x
  2. Step 2: Convert to fraction form
    301,894.35/416,580.73 = 181,040.73/x
  3. Step 3: Cross multiply
    301,894.35x = 416,580.73 × 181,040.73
  4. Step 4: Simplify right side
    301,894.35x = 75,418,079,463.13
  5. Step 5: Solve for x
    x = 75,418,079,463.13/301,894.35
  6. Step 6: Final answer
    x = 249,816.13

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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.