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Finding the Fourth Proportional to 405,282.87, 559,359.81 and 235,615.41

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Solution

The fourth proportional to 405,282.87, 559,359.81 and 235,615.41 is: 325,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,282.87 : 559,359.81 = 235,615.41 : x
  2. Step 2: Convert to fraction form
    405,282.87/559,359.81 = 235,615.41/x
  3. Step 3: Cross multiply
    405,282.87x = 559,359.81 × 235,615.41
  4. Step 4: Simplify right side
    405,282.87x = 131,793,790,970.67
  5. Step 5: Solve for x
    x = 131,793,790,970.67/405,282.87
  6. Step 6: Final answer
    x = 325,189.64

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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.