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Finding the Fourth Proportional to 406,827.92, 610,467.96 and 182,179.28

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Solution

The fourth proportional to 406,827.92, 610,467.96 and 182,179.28 is: 273,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,827.92 : 610,467.96 = 182,179.28 : x
  2. Step 2: Convert to fraction form
    406,827.92/610,467.96 = 182,179.28/x
  3. Step 3: Cross multiply
    406,827.92x = 610,467.96 × 182,179.28
  4. Step 4: Simplify right side
    406,827.92x = 111,214,613,415.87
  5. Step 5: Solve for x
    x = 111,214,613,415.87/406,827.92
  6. Step 6: Final answer
    x = 273,370.16

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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.