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Finding the Fourth Proportional to 647,954.37, 971,865.95 and 174,687.57

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Solution

The fourth proportional to 647,954.37, 971,865.95 and 174,687.57 is: 262,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,954.37 : 971,865.95 = 174,687.57 : x
  2. Step 2: Convert to fraction form
    647,954.37/971,865.95 = 174,687.57/x
  3. Step 3: Cross multiply
    647,954.37x = 971,865.95 × 174,687.57
  4. Step 4: Simplify right side
    647,954.37x = 169,772,900,297.80
  5. Step 5: Solve for x
    x = 169,772,900,297.80/647,954.37
  6. Step 6: Final answer
    x = 262,013.67

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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.