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Finding the Fourth Proportional to 275,428.80, 413,095.71 and 73,026.34

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Solution

The fourth proportional to 275,428.80, 413,095.71 and 73,026.34 is: 109,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,428.80 : 413,095.71 = 73,026.34 : x
  2. Step 2: Convert to fraction form
    275,428.80/413,095.71 = 73,026.34/x
  3. Step 3: Cross multiply
    275,428.80x = 413,095.71 × 73,026.34
  4. Step 4: Simplify right side
    275,428.80x = 30,166,867,771.00
  5. Step 5: Solve for x
    x = 30,166,867,771.00/275,428.80
  6. Step 6: Final answer
    x = 109,526.92

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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.