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Finding the Fourth Proportional to 416,443.94, 624,266.85 and 176,227.39

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Solution

The fourth proportional to 416,443.94, 624,266.85 and 176,227.39 is: 264,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,443.94 : 624,266.85 = 176,227.39 : x
  2. Step 2: Convert to fraction form
    416,443.94/624,266.85 = 176,227.39/x
  3. Step 3: Cross multiply
    416,443.94x = 624,266.85 × 176,227.39
  4. Step 4: Simplify right side
    416,443.94x = 110,012,916,757.89
  5. Step 5: Solve for x
    x = 110,012,916,757.89/416,443.94
  6. Step 6: Final answer
    x = 264,172.21

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1.5x scale

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.