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Finding the Fourth Proportional to 273,587.56, 410,511.30 and 189,477.16

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Solution

The fourth proportional to 273,587.56, 410,511.30 and 189,477.16 is: 284,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,587.56 : 410,511.30 = 189,477.16 : x
  2. Step 2: Convert to fraction form
    273,587.56/410,511.30 = 189,477.16/x
  3. Step 3: Cross multiply
    273,587.56x = 410,511.30 × 189,477.16
  4. Step 4: Simplify right side
    273,587.56x = 77,782,515,271.91
  5. Step 5: Solve for x
    x = 77,782,515,271.91/273,587.56
  6. Step 6: Final answer
    x = 284,305.75

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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.