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Finding the Fourth Proportional to 446,355.51, 669,558.58 and 142,776.33

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Solution

The fourth proportional to 446,355.51, 669,558.58 and 142,776.33 is: 214,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,355.51 : 669,558.58 = 142,776.33 : x
  2. Step 2: Convert to fraction form
    446,355.51/669,558.58 = 142,776.33/x
  3. Step 3: Cross multiply
    446,355.51x = 669,558.58 × 142,776.33
  4. Step 4: Simplify right side
    446,355.51x = 95,597,113,904.63
  5. Step 5: Solve for x
    x = 95,597,113,904.63/446,355.51
  6. Step 6: Final answer
    x = 214,172.59

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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.