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Finding the Fourth Proportional to 816,020, 1,126,213.20 and 458,324

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Solution

The fourth proportional to 816,020, 1,126,213.20 and 458,324 is: 632,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,020 : 1,126,213.20 = 458,324 : x
  2. Step 2: Convert to fraction form
    816,020/1,126,213.20 = 458,324/x
  3. Step 3: Cross multiply
    816,020x = 1,126,213.20 × 458,324
  4. Step 4: Simplify right side
    816,020x = 516,170,538,676.80
  5. Step 5: Solve for x
    x = 516,170,538,676.80/816,020
  6. Step 6: Final answer
    x = 632,546.43

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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.