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Finding the Fourth Proportional to 364,471.68, 502,908.62 and 211,474.80

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Solution

The fourth proportional to 364,471.68, 502,908.62 and 211,474.80 is: 291,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,471.68 : 502,908.62 = 211,474.80 : x
  2. Step 2: Convert to fraction form
    364,471.68/502,908.62 = 211,474.80/x
  3. Step 3: Cross multiply
    364,471.68x = 502,908.62 × 211,474.80
  4. Step 4: Simplify right side
    364,471.68x = 106,352,498,775.40
  5. Step 5: Solve for x
    x = 106,352,498,775.40/364,471.68
  6. Step 6: Final answer
    x = 291,799.07

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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.