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Finding the Fourth Proportional to 446,599.80, 669,705.30 and 146,964.60

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Solution

The fourth proportional to 446,599.80, 669,705.30 and 146,964.60 is: 220,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,599.80 : 669,705.30 = 146,964.60 : x
  2. Step 2: Convert to fraction form
    446,599.80/669,705.30 = 146,964.60/x
  3. Step 3: Cross multiply
    446,599.80x = 669,705.30 × 146,964.60
  4. Step 4: Simplify right side
    446,599.80x = 98,422,971,532.38
  5. Step 5: Solve for x
    x = 98,422,971,532.38/446,599.80
  6. Step 6: Final answer
    x = 220,382.93

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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.