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Finding the Fourth Proportional to 310,794.05, 428,933.73 and 174,833.73

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Solution

The fourth proportional to 310,794.05, 428,933.73 and 174,833.73 is: 241,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,794.05 : 428,933.73 = 174,833.73 : x
  2. Step 2: Convert to fraction form
    310,794.05/428,933.73 = 174,833.73/x
  3. Step 3: Cross multiply
    310,794.05x = 428,933.73 × 174,833.73
  4. Step 4: Simplify right side
    310,794.05x = 74,992,083,938.71
  5. Step 5: Solve for x
    x = 74,992,083,938.71/310,794.05
  6. Step 6: Final answer
    x = 241,291.89

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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.