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Finding the Fourth Proportional to 413,883.84, 620,940.24 and 164,740.80

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Solution

The fourth proportional to 413,883.84, 620,940.24 and 164,740.80 is: 247,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,883.84 : 620,940.24 = 164,740.80 : x
  2. Step 2: Convert to fraction form
    413,883.84/620,940.24 = 164,740.80/x
  3. Step 3: Cross multiply
    413,883.84x = 620,940.24 × 164,740.80
  4. Step 4: Simplify right side
    413,883.84x = 102,294,191,889.79
  5. Step 5: Solve for x
    x = 102,294,191,889.79/413,883.84
  6. Step 6: Final answer
    x = 247,156.77

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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.