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Finding the Fourth Proportional to 411,418.16, 616,905.34 and 186,655.96

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Solution

The fourth proportional to 411,418.16, 616,905.34 and 186,655.96 is: 279,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,418.16 : 616,905.34 = 186,655.96 : x
  2. Step 2: Convert to fraction form
    411,418.16/616,905.34 = 186,655.96/x
  3. Step 3: Cross multiply
    411,418.16x = 616,905.34 × 186,655.96
  4. Step 4: Simplify right side
    411,418.16x = 115,149,055,301.23
  5. Step 5: Solve for x
    x = 115,149,055,301.23/411,418.16
  6. Step 6: Final answer
    x = 279,883.26

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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.