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Finding the Fourth Proportional to 647,951.37, 971,861.43 and 174,684.57

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Solution

The fourth proportional to 647,951.37, 971,861.43 and 174,684.57 is: 262,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,951.37 : 971,861.43 = 174,684.57 : x
  2. Step 2: Convert to fraction form
    647,951.37/971,861.43 = 174,684.57/x
  3. Step 3: Cross multiply
    647,951.37x = 971,861.43 × 174,684.57
  4. Step 4: Simplify right side
    647,951.37x = 169,769,195,999.14
  5. Step 5: Solve for x
    x = 169,769,195,999.14/647,951.37
  6. Step 6: Final answer
    x = 262,009.16

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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.