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Finding the Fourth Proportional to 417,362.92, 624,644.70 and 342,480.04

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Solution

The fourth proportional to 417,362.92, 624,644.70 and 342,480.04 is: 512,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,362.92 : 624,644.70 = 342,480.04 : x
  2. Step 2: Convert to fraction form
    417,362.92/624,644.70 = 342,480.04/x
  3. Step 3: Cross multiply
    417,362.92x = 624,644.70 × 342,480.04
  4. Step 4: Simplify right side
    417,362.92x = 213,928,341,841.79
  5. Step 5: Solve for x
    x = 213,928,341,841.79/417,362.92
  6. Step 6: Final answer
    x = 512,571.51

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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.