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Finding the Fourth Proportional to 441,676.14, 662,374.74 and 142,089.96

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Solution

The fourth proportional to 441,676.14, 662,374.74 and 142,089.96 is: 213,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,676.14 : 662,374.74 = 142,089.96 : x
  2. Step 2: Convert to fraction form
    441,676.14/662,374.74 = 142,089.96/x
  3. Step 3: Cross multiply
    441,676.14x = 662,374.74 × 142,089.96
  4. Step 4: Simplify right side
    441,676.14x = 94,116,800,311.61
  5. Step 5: Solve for x
    x = 94,116,800,311.61/441,676.14
  6. Step 6: Final answer
    x = 213,090.07

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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.