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Finding the Fourth Proportional to 414,714.88, 622,003.20 and 134,191.36

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Solution

The fourth proportional to 414,714.88, 622,003.20 and 134,191.36 is: 201,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,714.88 : 622,003.20 = 134,191.36 : x
  2. Step 2: Convert to fraction form
    414,714.88/622,003.20 = 134,191.36/x
  3. Step 3: Cross multiply
    414,714.88x = 622,003.20 × 134,191.36
  4. Step 4: Simplify right side
    414,714.88x = 83,467,455,332.35
  5. Step 5: Solve for x
    x = 83,467,455,332.35/414,714.88
  6. Step 6: Final answer
    x = 201,264.67

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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.