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Finding the Fourth Proportional to 505,979.47, 698,301.44 and 291,128.59

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Solution

The fourth proportional to 505,979.47, 698,301.44 and 291,128.59 is: 401,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,979.47 : 698,301.44 = 291,128.59 : x
  2. Step 2: Convert to fraction form
    505,979.47/698,301.44 = 291,128.59/x
  3. Step 3: Cross multiply
    505,979.47x = 698,301.44 × 291,128.59
  4. Step 4: Simplify right side
    505,979.47x = 203,295,513,622.17
  5. Step 5: Solve for x
    x = 203,295,513,622.17/505,979.47
  6. Step 6: Final answer
    x = 401,786.09

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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.