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Finding the Fourth Proportional to 389,931.68, 538,086.44 and 217,815.50

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Solution

The fourth proportional to 389,931.68, 538,086.44 and 217,815.50 is: 300,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,931.68 : 538,086.44 = 217,815.50 : x
  2. Step 2: Convert to fraction form
    389,931.68/538,086.44 = 217,815.50/x
  3. Step 3: Cross multiply
    389,931.68x = 538,086.44 × 217,815.50
  4. Step 4: Simplify right side
    389,931.68x = 117,203,563,192.31
  5. Step 5: Solve for x
    x = 117,203,563,192.31/389,931.68
  6. Step 6: Final answer
    x = 300,574.62

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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.