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Finding the Fourth Proportional to 716,120.96, 988,258.97 and 410,224.09

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Solution

The fourth proportional to 716,120.96, 988,258.97 and 410,224.09 is: 566,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,120.96 : 988,258.97 = 410,224.09 : x
  2. Step 2: Convert to fraction form
    716,120.96/988,258.97 = 410,224.09/x
  3. Step 3: Cross multiply
    716,120.96x = 988,258.97 × 410,224.09
  4. Step 4: Simplify right side
    716,120.96x = 405,407,636,652.59
  5. Step 5: Solve for x
    x = 405,407,636,652.59/716,120.96
  6. Step 6: Final answer
    x = 566,116.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.