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Finding the Fourth Proportional to 291,092.51, 401,707.55 and 162,028.22

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Solution

The fourth proportional to 291,092.51, 401,707.55 and 162,028.22 is: 223,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,092.51 : 401,707.55 = 162,028.22 : x
  2. Step 2: Convert to fraction form
    291,092.51/401,707.55 = 162,028.22/x
  3. Step 3: Cross multiply
    291,092.51x = 401,707.55 × 162,028.22
  4. Step 4: Simplify right side
    291,092.51x = 65,087,961,073.00
  5. Step 5: Solve for x
    x = 65,087,961,073.00/291,092.51
  6. Step 6: Final answer
    x = 223,598.89

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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.