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Finding the Fourth Proportional to 447,379.38, 617,409.10 and 256,424.58

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Solution

The fourth proportional to 447,379.38, 617,409.10 and 256,424.58 is: 353,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,379.38 : 617,409.10 = 256,424.58 : x
  2. Step 2: Convert to fraction form
    447,379.38/617,409.10 = 256,424.58/x
  3. Step 3: Cross multiply
    447,379.38x = 617,409.10 × 256,424.58
  4. Step 4: Simplify right side
    447,379.38x = 158,318,869,155.68
  5. Step 5: Solve for x
    x = 158,318,869,155.68/447,379.38
  6. Step 6: Final answer
    x = 353,880.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.