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Finding the Fourth Proportional to 291,952.69, 402,906.43 and 162,902.43

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Solution

The fourth proportional to 291,952.69, 402,906.43 and 162,902.43 is: 224,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.69 : 402,906.43 = 162,902.43 : x
  2. Step 2: Convert to fraction form
    291,952.69/402,906.43 = 162,902.43/x
  3. Step 3: Cross multiply
    291,952.69x = 402,906.43 × 162,902.43
  4. Step 4: Simplify right side
    291,952.69x = 65,634,436,102.37
  5. Step 5: Solve for x
    x = 65,634,436,102.37/291,952.69
  6. Step 6: Final answer
    x = 224,811.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.