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Finding the Fourth Proportional to 416,795.44, 575,176.92 and 225,814

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Solution

The fourth proportional to 416,795.44, 575,176.92 and 225,814 is: 311,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,795.44 : 575,176.92 = 225,814 : x
  2. Step 2: Convert to fraction form
    416,795.44/575,176.92 = 225,814/x
  3. Step 3: Cross multiply
    416,795.44x = 575,176.92 × 225,814
  4. Step 4: Simplify right side
    416,795.44x = 129,883,001,012.88
  5. Step 5: Solve for x
    x = 129,883,001,012.88/416,795.44
  6. Step 6: Final answer
    x = 311,622.89

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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.