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Finding the Fourth Proportional to 363,202.17, 501,465.90 and 227,291.05

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Solution

The fourth proportional to 363,202.17, 501,465.90 and 227,291.05 is: 313,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,202.17 : 501,465.90 = 227,291.05 : x
  2. Step 2: Convert to fraction form
    363,202.17/501,465.90 = 227,291.05/x
  3. Step 3: Cross multiply
    363,202.17x = 501,465.90 × 227,291.05
  4. Step 4: Simplify right side
    363,202.17x = 113,978,710,950.20
  5. Step 5: Solve for x
    x = 113,978,710,950.20/363,202.17
  6. Step 6: Final answer
    x = 313,816.16

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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.