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Finding the Fourth Proportional to 275,428.31, 413,094.96 and 73,025.84

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Solution

The fourth proportional to 275,428.31, 413,094.96 and 73,025.84 is: 109,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,428.31 : 413,094.96 = 73,025.84 : x
  2. Step 2: Convert to fraction form
    275,428.31/413,094.96 = 73,025.84/x
  3. Step 3: Cross multiply
    275,428.31x = 413,094.96 × 73,025.84
  4. Step 4: Simplify right side
    275,428.31x = 30,166,604,388.29
  5. Step 5: Solve for x
    x = 30,166,604,388.29/275,428.31
  6. Step 6: Final answer
    x = 109,526.16

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Why These Related Problems?

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