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Finding the Fourth Proportional to 647,951.31, 971,861.34 and 174,684.51

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Solution

The fourth proportional to 647,951.31, 971,861.34 and 174,684.51 is: 262,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,951.31 : 971,861.34 = 174,684.51 : x
  2. Step 2: Convert to fraction form
    647,951.31/971,861.34 = 174,684.51/x
  3. Step 3: Cross multiply
    647,951.31x = 971,861.34 × 174,684.51
  4. Step 4: Simplify right side
    647,951.31x = 169,769,121,965.84
  5. Step 5: Solve for x
    x = 169,769,121,965.84/647,951.31
  6. Step 6: Final answer
    x = 262,009.07

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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.