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Finding the Fourth Proportional to 416,375.72, 624,292.92 and 163,680.93

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Solution

The fourth proportional to 416,375.72, 624,292.92 and 163,680.93 is: 245,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,375.72 : 624,292.92 = 163,680.93 : x
  2. Step 2: Convert to fraction form
    416,375.72/624,292.92 = 163,680.93/x
  3. Step 3: Cross multiply
    416,375.72x = 624,292.92 × 163,680.93
  4. Step 4: Simplify right side
    416,375.72x = 102,184,845,738.02
  5. Step 5: Solve for x
    x = 102,184,845,738.02/416,375.72
  6. Step 6: Final answer
    x = 245,415.00

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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.