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Finding the Fourth Proportional to 397,294.30, 594,957.30 and 254,920.60

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Solution

The fourth proportional to 397,294.30, 594,957.30 and 254,920.60 is: 381,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,294.30 : 594,957.30 = 254,920.60 : x
  2. Step 2: Convert to fraction form
    397,294.30/594,957.30 = 254,920.60/x
  3. Step 3: Cross multiply
    397,294.30x = 594,957.30 × 254,920.60
  4. Step 4: Simplify right side
    397,294.30x = 151,666,871,890.38
  5. Step 5: Solve for x
    x = 151,666,871,890.38/397,294.30
  6. Step 6: Final answer
    x = 381,749.43

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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.