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Finding the Fourth Proportional to 416,829.44, 575,223.84 and 225,848

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Solution

The fourth proportional to 416,829.44, 575,223.84 and 225,848 is: 311,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,829.44 : 575,223.84 = 225,848 : x
  2. Step 2: Convert to fraction form
    416,829.44/575,223.84 = 225,848/x
  3. Step 3: Cross multiply
    416,829.44x = 575,223.84 × 225,848
  4. Step 4: Simplify right side
    416,829.44x = 129,913,153,816.32
  5. Step 5: Solve for x
    x = 129,913,153,816.32/416,829.44
  6. Step 6: Final answer
    x = 311,669.81

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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.