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Finding the Fourth Proportional to 414,905.40, 622,503.90 and 148,674.60

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Solution

The fourth proportional to 414,905.40, 622,503.90 and 148,674.60 is: 223,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,905.40 : 622,503.90 = 148,674.60 : x
  2. Step 2: Convert to fraction form
    414,905.40/622,503.90 = 148,674.60/x
  3. Step 3: Cross multiply
    414,905.40x = 622,503.90 × 148,674.60
  4. Step 4: Simplify right side
    414,905.40x = 92,550,518,330.94
  5. Step 5: Solve for x
    x = 92,550,518,330.94/414,905.40
  6. Step 6: Final answer
    x = 223,064.15

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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.