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Finding the Fourth Proportional to 397,336.45, 596,004.68 and 97,814.65

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Solution

The fourth proportional to 397,336.45, 596,004.68 and 97,814.65 is: 146,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,336.45 : 596,004.68 = 97,814.65 : x
  2. Step 2: Convert to fraction form
    397,336.45/596,004.68 = 97,814.65/x
  3. Step 3: Cross multiply
    397,336.45x = 596,004.68 × 97,814.65
  4. Step 4: Simplify right side
    397,336.45x = 58,297,989,172.56
  5. Step 5: Solve for x
    x = 58,297,989,172.56/397,336.45
  6. Step 6: Final answer
    x = 146,721.98

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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.