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Finding the Fourth Proportional to 446,228.34, 669,380.31 and 142,666.26

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Solution

The fourth proportional to 446,228.34, 669,380.31 and 142,666.26 is: 214,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,228.34 : 669,380.31 = 142,666.26 : x
  2. Step 2: Convert to fraction form
    446,228.34/669,380.31 = 142,666.26/x
  3. Step 3: Cross multiply
    446,228.34x = 669,380.31 × 142,666.26
  4. Step 4: Simplify right side
    446,228.34x = 95,497,985,345.34
  5. Step 5: Solve for x
    x = 95,497,985,345.34/446,228.34
  6. Step 6: Final answer
    x = 214,011.48

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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.