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Finding the Fourth Proportional to 397,346.70, 596,020.05 and 97,824.90

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Solution

The fourth proportional to 397,346.70, 596,020.05 and 97,824.90 is: 146,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,346.70 : 596,020.05 = 97,824.90 : x
  2. Step 2: Convert to fraction form
    397,346.70/596,020.05 = 97,824.90/x
  3. Step 3: Cross multiply
    397,346.70x = 596,020.05 × 97,824.90
  4. Step 4: Simplify right side
    397,346.70x = 58,305,601,789.25
  5. Step 5: Solve for x
    x = 58,305,601,789.25/397,346.70
  6. Step 6: Final answer
    x = 146,737.35

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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.