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Finding the Fourth Proportional to 290,727.68, 401,090.28 and 214,429.92

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Solution

The fourth proportional to 290,727.68, 401,090.28 and 214,429.92 is: 295,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,727.68 : 401,090.28 = 214,429.92 : x
  2. Step 2: Convert to fraction form
    290,727.68/401,090.28 = 214,429.92/x
  3. Step 3: Cross multiply
    290,727.68x = 401,090.28 × 214,429.92
  4. Step 4: Simplify right side
    290,727.68x = 86,005,756,653.18
  5. Step 5: Solve for x
    x = 86,005,756,653.18/290,727.68
  6. Step 6: Final answer
    x = 295,829.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.