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Finding the Fourth Proportional to 395,882, 594,141.60 and 225,208.52

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Solution

The fourth proportional to 395,882, 594,141.60 and 225,208.52 is: 337,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,882 : 594,141.60 = 225,208.52 : x
  2. Step 2: Convert to fraction form
    395,882/594,141.60 = 225,208.52/x
  3. Step 3: Cross multiply
    395,882x = 594,141.60 × 225,208.52
  4. Step 4: Simplify right side
    395,882x = 133,805,750,406.43
  5. Step 5: Solve for x
    x = 133,805,750,406.43/395,882
  6. Step 6: Final answer
    x = 337,994.02

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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.