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Finding the Fourth Proportional to 598,460.88, 825,907.60 and 343,828.56

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Solution

The fourth proportional to 598,460.88, 825,907.60 and 343,828.56 is: 474,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,460.88 : 825,907.60 = 343,828.56 : x
  2. Step 2: Convert to fraction form
    598,460.88/825,907.60 = 343,828.56/x
  3. Step 3: Cross multiply
    598,460.88x = 825,907.60 × 343,828.56
  4. Step 4: Simplify right side
    598,460.88x = 283,970,620,801.06
  5. Step 5: Solve for x
    x = 283,970,620,801.06/598,460.88
  6. Step 6: Final answer
    x = 474,501.56

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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.