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Finding the Fourth Proportional to 416,823.44, 575,215.56 and 225,842

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Solution

The fourth proportional to 416,823.44, 575,215.56 and 225,842 is: 311,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,823.44 : 575,215.56 = 225,842 : x
  2. Step 2: Convert to fraction form
    416,823.44/575,215.56 = 225,842/x
  3. Step 3: Cross multiply
    416,823.44x = 575,215.56 × 225,842
  4. Step 4: Simplify right side
    416,823.44x = 129,907,832,501.52
  5. Step 5: Solve for x
    x = 129,907,832,501.52/416,823.44
  6. Step 6: Final answer
    x = 311,661.53

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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.