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Finding the Fourth Proportional to 446,344.77, 669,443.27 and 146,829.09

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Solution

The fourth proportional to 446,344.77, 669,443.27 and 146,829.09 is: 220,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,344.77 : 669,443.27 = 146,829.09 : x
  2. Step 2: Convert to fraction form
    446,344.77/669,443.27 = 146,829.09/x
  3. Step 3: Cross multiply
    446,344.77x = 669,443.27 × 146,829.09
  4. Step 4: Simplify right side
    446,344.77x = 98,293,745,406.58
  5. Step 5: Solve for x
    x = 98,293,745,406.58/446,344.77
  6. Step 6: Final answer
    x = 220,219.33

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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.