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Finding the Fourth Proportional to 345,462, 476,856.84 and 202,268.04

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Solution

The fourth proportional to 345,462, 476,856.84 and 202,268.04 is: 279,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,462 : 476,856.84 = 202,268.04 : x
  2. Step 2: Convert to fraction form
    345,462/476,856.84 = 202,268.04/x
  3. Step 3: Cross multiply
    345,462x = 476,856.84 × 202,268.04
  4. Step 4: Simplify right side
    345,462x = 96,452,898,387.39
  5. Step 5: Solve for x
    x = 96,452,898,387.39/345,462
  6. Step 6: Final answer
    x = 279,199.73

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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.