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Finding the Fourth Proportional to 366,231.30, 505,430.99 and 205,083.42

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Solution

The fourth proportional to 366,231.30, 505,430.99 and 205,083.42 is: 283,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,231.30 : 505,430.99 = 205,083.42 : x
  2. Step 2: Convert to fraction form
    366,231.30/505,430.99 = 205,083.42/x
  3. Step 3: Cross multiply
    366,231.30x = 505,430.99 × 205,083.42
  4. Step 4: Simplify right side
    366,231.30x = 103,655,518,795.79
  5. Step 5: Solve for x
    x = 103,655,518,795.79/366,231.30
  6. Step 6: Final answer
    x = 283,032.93

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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.