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Finding the Fourth Proportional to 413,853.40, 620,634.30 and 147,622.60

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Solution

The fourth proportional to 413,853.40, 620,634.30 and 147,622.60 is: 221,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,853.40 : 620,634.30 = 147,622.60 : x
  2. Step 2: Convert to fraction form
    413,853.40/620,634.30 = 147,622.60/x
  3. Step 3: Cross multiply
    413,853.40x = 620,634.30 × 147,622.60
  4. Step 4: Simplify right side
    413,853.40x = 91,619,649,015.18
  5. Step 5: Solve for x
    x = 91,619,649,015.18/413,853.40
  6. Step 6: Final answer
    x = 221,381.89

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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.