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Finding the Fourth Proportional to 235,783.70, 325,406.32 and 206,443.27

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Solution

The fourth proportional to 235,783.70, 325,406.32 and 206,443.27 is: 284,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,783.70 : 325,406.32 = 206,443.27 : x
  2. Step 2: Convert to fraction form
    235,783.70/325,406.32 = 206,443.27/x
  3. Step 3: Cross multiply
    235,783.70x = 325,406.32 × 206,443.27
  4. Step 4: Simplify right side
    235,783.70x = 67,177,944,779.47
  5. Step 5: Solve for x
    x = 67,177,944,779.47/235,783.70
  6. Step 6: Final answer
    x = 284,913.44

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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.