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Finding the Fourth Proportional to 882,488.14, 1,323,863.44 and 409,221.34

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Solution

The fourth proportional to 882,488.14, 1,323,863.44 and 409,221.34 is: 613,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,488.14 : 1,323,863.44 = 409,221.34 : x
  2. Step 2: Convert to fraction form
    882,488.14/1,323,863.44 = 409,221.34/x
  3. Step 3: Cross multiply
    882,488.14x = 1,323,863.44 × 409,221.34
  4. Step 4: Simplify right side
    882,488.14x = 541,753,170,893.81
  5. Step 5: Solve for x
    x = 541,753,170,893.81/882,488.14
  6. Step 6: Final answer
    x = 613,892.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.