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Finding the Fourth Proportional to 414,096.40, 620,998.80 and 147,865.60

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Solution

The fourth proportional to 414,096.40, 620,998.80 and 147,865.60 is: 221,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,096.40 : 620,998.80 = 147,865.60 : x
  2. Step 2: Convert to fraction form
    414,096.40/620,998.80 = 147,865.60/x
  3. Step 3: Cross multiply
    414,096.40x = 620,998.80 × 147,865.60
  4. Step 4: Simplify right side
    414,096.40x = 91,824,360,161.28
  5. Step 5: Solve for x
    x = 91,824,360,161.28/414,096.40
  6. Step 6: Final answer
    x = 221,746.34

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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.