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Finding the Fourth Proportional to 354,047.75, 531,071.12 and 164,404.41

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Solution

The fourth proportional to 354,047.75, 531,071.12 and 164,404.41 is: 246,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,047.75 : 531,071.12 = 164,404.41 : x
  2. Step 2: Convert to fraction form
    354,047.75/531,071.12 = 164,404.41/x
  3. Step 3: Cross multiply
    354,047.75x = 531,071.12 × 164,404.41
  4. Step 4: Simplify right side
    354,047.75x = 87,310,433,329.62
  5. Step 5: Solve for x
    x = 87,310,433,329.62/354,047.75
  6. Step 6: Final answer
    x = 246,606.38

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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.