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Finding the Fourth Proportional to 370,533.26, 511,345.41 and 227,372.42

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Solution

The fourth proportional to 370,533.26, 511,345.41 and 227,372.42 is: 313,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,533.26 : 511,345.41 = 227,372.42 : x
  2. Step 2: Convert to fraction form
    370,533.26/511,345.41 = 227,372.42/x
  3. Step 3: Cross multiply
    370,533.26x = 511,345.41 × 227,372.42
  4. Step 4: Simplify right side
    370,533.26x = 116,265,843,327.59
  5. Step 5: Solve for x
    x = 116,265,843,327.59/370,533.26
  6. Step 6: Final answer
    x = 313,779.78

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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.