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Finding the Fourth Proportional to 413,924.70, 620,733.45 and 164,555.10

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Solution

The fourth proportional to 413,924.70, 620,733.45 and 164,555.10 is: 246,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,924.70 : 620,733.45 = 164,555.10 : x
  2. Step 2: Convert to fraction form
    413,924.70/620,733.45 = 164,555.10/x
  3. Step 3: Cross multiply
    413,924.70x = 620,733.45 × 164,555.10
  4. Step 4: Simplify right side
    413,924.70x = 102,144,854,938.10
  5. Step 5: Solve for x
    x = 102,144,854,938.10/413,924.70
  6. Step 6: Final answer
    x = 246,771.59

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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.