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Finding the Fourth Proportional to 353,644.75, 530,472.69 and 196,869.65

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Solution

The fourth proportional to 353,644.75, 530,472.69 and 196,869.65 is: 295,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,644.75 : 530,472.69 = 196,869.65 : x
  2. Step 2: Convert to fraction form
    353,644.75/530,472.69 = 196,869.65/x
  3. Step 3: Cross multiply
    353,644.75x = 530,472.69 × 196,869.65
  4. Step 4: Simplify right side
    353,644.75x = 104,433,972,814.86
  5. Step 5: Solve for x
    x = 104,433,972,814.86/353,644.75
  6. Step 6: Final answer
    x = 295,307.57

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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.