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Finding the Fourth Proportional to 414,809.37, 622,214.06 and 148,756.72

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Solution

The fourth proportional to 414,809.37, 622,214.06 and 148,756.72 is: 223,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,809.37 : 622,214.06 = 148,756.72 : x
  2. Step 2: Convert to fraction form
    414,809.37/622,214.06 = 148,756.72/x
  3. Step 3: Cross multiply
    414,809.37x = 622,214.06 × 148,756.72
  4. Step 4: Simplify right side
    414,809.37x = 92,558,520,404.16
  5. Step 5: Solve for x
    x = 92,558,520,404.16/414,809.37
  6. Step 6: Final answer
    x = 223,135.08

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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.