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Finding the Fourth Proportional to 821,103, 1,133,056.83 and 458,505.21

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Solution

The fourth proportional to 821,103, 1,133,056.83 and 458,505.21 is: 632,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,103 : 1,133,056.83 = 458,505.21 : x
  2. Step 2: Convert to fraction form
    821,103/1,133,056.83 = 458,505.21/x
  3. Step 3: Cross multiply
    821,103x = 1,133,056.83 × 458,505.21
  4. Step 4: Simplify right side
    821,103x = 519,512,459,781.08
  5. Step 5: Solve for x
    x = 519,512,459,781.08/821,103
  6. Step 6: Final answer
    x = 632,700.72

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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.