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Finding the Fourth Proportional to 416,283.37, 623,922.21 and 202,731.28

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Solution

The fourth proportional to 416,283.37, 623,922.21 and 202,731.28 is: 303,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,283.37 : 623,922.21 = 202,731.28 : x
  2. Step 2: Convert to fraction form
    416,283.37/623,922.21 = 202,731.28/x
  3. Step 3: Cross multiply
    416,283.37x = 623,922.21 × 202,731.28
  4. Step 4: Simplify right side
    416,283.37x = 126,488,546,693.92
  5. Step 5: Solve for x
    x = 126,488,546,693.92/416,283.37
  6. Step 6: Final answer
    x = 303,852.03

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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.