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Finding the Fourth Proportional to 390,196.50, 538,471.17 and 211,348.50

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Solution

The fourth proportional to 390,196.50, 538,471.17 and 211,348.50 is: 291,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,196.50 : 538,471.17 = 211,348.50 : x
  2. Step 2: Convert to fraction form
    390,196.50/538,471.17 = 211,348.50/x
  3. Step 3: Cross multiply
    390,196.50x = 538,471.17 × 211,348.50
  4. Step 4: Simplify right side
    390,196.50x = 113,805,074,072.75
  5. Step 5: Solve for x
    x = 113,805,074,072.75/390,196.50
  6. Step 6: Final answer
    x = 291,660.93

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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.