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Finding the Fourth Proportional to 310,794.23, 428,933.98 and 174,833.91

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Solution

The fourth proportional to 310,794.23, 428,933.98 and 174,833.91 is: 241,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,794.23 : 428,933.98 = 174,833.91 : x
  2. Step 2: Convert to fraction form
    310,794.23/428,933.98 = 174,833.91/x
  3. Step 3: Cross multiply
    310,794.23x = 428,933.98 × 174,833.91
  4. Step 4: Simplify right side
    310,794.23x = 74,992,205,073.80
  5. Step 5: Solve for x
    x = 74,992,205,073.80/310,794.23
  6. Step 6: Final answer
    x = 241,292.14

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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.