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Finding the Fourth Proportional to 882,484.14, 1,323,857.43 and 409,217.34

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Solution

The fourth proportional to 882,484.14, 1,323,857.43 and 409,217.34 is: 613,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,484.14 : 1,323,857.43 = 409,217.34 : x
  2. Step 2: Convert to fraction form
    882,484.14/1,323,857.43 = 409,217.34/x
  3. Step 3: Cross multiply
    882,484.14x = 1,323,857.43 × 409,217.34
  4. Step 4: Simplify right side
    882,484.14x = 541,745,416,043.84
  5. Step 5: Solve for x
    x = 541,745,416,043.84/882,484.14
  6. Step 6: Final answer
    x = 613,886.86

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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.