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Finding the Fourth Proportional to 416,907.78, 575,333.20 and 225,921.54

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Solution

The fourth proportional to 416,907.78, 575,333.20 and 225,921.54 is: 311,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,907.78 : 575,333.20 = 225,921.54 : x
  2. Step 2: Convert to fraction form
    416,907.78/575,333.20 = 225,921.54/x
  3. Step 3: Cross multiply
    416,907.78x = 575,333.20 × 225,921.54
  4. Step 4: Simplify right side
    416,907.78x = 129,980,162,557.13
  5. Step 5: Solve for x
    x = 129,980,162,557.13/416,907.78
  6. Step 6: Final answer
    x = 311,771.98

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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.