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Finding the Fourth Proportional to 624,022.71, 936,174.05 and 197,584.06

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Solution

The fourth proportional to 624,022.71, 936,174.05 and 197,584.06 is: 296,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,022.71 : 936,174.05 = 197,584.06 : x
  2. Step 2: Convert to fraction form
    624,022.71/936,174.05 = 197,584.06/x
  3. Step 3: Cross multiply
    624,022.71x = 936,174.05 × 197,584.06
  4. Step 4: Simplify right side
    624,022.71x = 184,973,069,944.96
  5. Step 5: Solve for x
    x = 184,973,069,944.96/624,022.71
  6. Step 6: Final answer
    x = 296,420.41

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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.