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Finding the Fourth Proportional to 416,647.89, 624,969 and 117,126.63

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Solution

The fourth proportional to 416,647.89, 624,969 and 117,126.63 is: 175,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,647.89 : 624,969 = 117,126.63 : x
  2. Step 2: Convert to fraction form
    416,647.89/624,969 = 117,126.63/x
  3. Step 3: Cross multiply
    416,647.89x = 624,969 × 117,126.63
  4. Step 4: Simplify right side
    416,647.89x = 73,200,512,824.47
  5. Step 5: Solve for x
    x = 73,200,512,824.47/416,647.89
  6. Step 6: Final answer
    x = 175,689.15

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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.