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Finding the Fourth Proportional to 413,674.01, 620,512.65 and 273,401.45

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Solution

The fourth proportional to 413,674.01, 620,512.65 and 273,401.45 is: 410,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,674.01 : 620,512.65 = 273,401.45 : x
  2. Step 2: Convert to fraction form
    413,674.01/620,512.65 = 273,401.45/x
  3. Step 3: Cross multiply
    413,674.01x = 620,512.65 × 273,401.45
  4. Step 4: Simplify right side
    413,674.01x = 169,649,057,477.70
  5. Step 5: Solve for x
    x = 169,649,057,477.70/413,674.01
  6. Step 6: Final answer
    x = 410,103.25

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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.