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Finding the Fourth Proportional to 412,406.79, 617,804.84 and 195,957.45

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Solution

The fourth proportional to 412,406.79, 617,804.84 and 195,957.45 is: 293,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,406.79 : 617,804.84 = 195,957.45 : x
  2. Step 2: Convert to fraction form
    412,406.79/617,804.84 = 195,957.45/x
  3. Step 3: Cross multiply
    412,406.79x = 617,804.84 × 195,957.45
  4. Step 4: Simplify right side
    412,406.79x = 121,063,460,064.27
  5. Step 5: Solve for x
    x = 121,063,460,064.27/412,406.79
  6. Step 6: Final answer
    x = 293,553.51

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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.