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Finding the Fourth Proportional to 411,418.34, 616,905.62 and 186,656.14

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Solution

The fourth proportional to 411,418.34, 616,905.62 and 186,656.14 is: 279,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,418.34 : 616,905.62 = 186,656.14 : x
  2. Step 2: Convert to fraction form
    411,418.34/616,905.62 = 186,656.14/x
  3. Step 3: Cross multiply
    411,418.34x = 616,905.62 × 186,656.14
  4. Step 4: Simplify right side
    411,418.34x = 115,149,221,773.51
  5. Step 5: Solve for x
    x = 115,149,221,773.51/411,418.34
  6. Step 6: Final answer
    x = 279,883.54

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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.