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Finding the Fourth Proportional to 405,882.63, 608,241.42 and 228,015.27

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Solution

The fourth proportional to 405,882.63, 608,241.42 and 228,015.27 is: 341,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,882.63 : 608,241.42 = 228,015.27 : x
  2. Step 2: Convert to fraction form
    405,882.63/608,241.42 = 228,015.27/x
  3. Step 3: Cross multiply
    405,882.63x = 608,241.42 × 228,015.27
  4. Step 4: Simplify right side
    405,882.63x = 138,688,331,606.48
  5. Step 5: Solve for x
    x = 138,688,331,606.48/405,882.63
  6. Step 6: Final answer
    x = 341,695.66

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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.