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Finding the Fourth Proportional to 413,705.20, 620,630.70 and 147,620.20

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Solution

The fourth proportional to 413,705.20, 620,630.70 and 147,620.20 is: 221,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,705.20 : 620,630.70 = 147,620.20 : x
  2. Step 2: Convert to fraction form
    413,705.20/620,630.70 = 147,620.20/x
  3. Step 3: Cross multiply
    413,705.20x = 620,630.70 × 147,620.20
  4. Step 4: Simplify right side
    413,705.20x = 91,617,628,060.14
  5. Step 5: Solve for x
    x = 91,617,628,060.14/413,705.20
  6. Step 6: Final answer
    x = 221,456.31

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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.