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Finding the Fourth Proportional to 416,433.68, 624,767.16 and 167,290.64

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Solution

The fourth proportional to 416,433.68, 624,767.16 and 167,290.64 is: 250,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,433.68 : 624,767.16 = 167,290.64 : x
  2. Step 2: Convert to fraction form
    416,433.68/624,767.16 = 167,290.64/x
  3. Step 3: Cross multiply
    416,433.68x = 624,767.16 × 167,290.64
  4. Step 4: Simplify right side
    416,433.68x = 104,517,698,047.38
  5. Step 5: Solve for x
    x = 104,517,698,047.38/416,433.68
  6. Step 6: Final answer
    x = 250,982.82

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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.