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Finding the Fourth Proportional to 300,070.50, 414,084.05 and 171,036.96

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Solution

The fourth proportional to 300,070.50, 414,084.05 and 171,036.96 is: 236,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,070.50 : 414,084.05 = 171,036.96 : x
  2. Step 2: Convert to fraction form
    300,070.50/414,084.05 = 171,036.96/x
  3. Step 3: Cross multiply
    300,070.50x = 414,084.05 × 171,036.96
  4. Step 4: Simplify right side
    300,070.50x = 70,823,674,170.88
  5. Step 5: Solve for x
    x = 70,823,674,170.88/300,070.50
  6. Step 6: Final answer
    x = 236,023.45

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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.