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Finding the Fourth Proportional to 354,548, 531,523.70 and 164,912.04

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Solution

The fourth proportional to 354,548, 531,523.70 and 164,912.04 is: 247,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,548 : 531,523.70 = 164,912.04 : x
  2. Step 2: Convert to fraction form
    354,548/531,523.70 = 164,912.04/x
  3. Step 3: Cross multiply
    354,548x = 531,523.70 × 164,912.04
  4. Step 4: Simplify right side
    354,548x = 87,654,657,675.35
  5. Step 5: Solve for x
    x = 87,654,657,675.35/354,548
  6. Step 6: Final answer
    x = 247,229.31

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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.