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Finding the Fourth Proportional to 405,913.70, 560,273.46 and 236,180.60

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Solution

The fourth proportional to 405,913.70, 560,273.46 and 236,180.60 is: 325,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,913.70 : 560,273.46 = 236,180.60 : x
  2. Step 2: Convert to fraction form
    405,913.70/560,273.46 = 236,180.60/x
  3. Step 3: Cross multiply
    405,913.70x = 560,273.46 × 236,180.60
  4. Step 4: Simplify right side
    405,913.70x = 132,325,721,946.88
  5. Step 5: Solve for x
    x = 132,325,721,946.88/405,913.70
  6. Step 6: Final answer
    x = 325,994.72

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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.