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Finding the Fourth Proportional to 538,164, 742,666.50 and 311,940.72

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Solution

The fourth proportional to 538,164, 742,666.50 and 311,940.72 is: 430,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,164 : 742,666.50 = 311,940.72 : x
  2. Step 2: Convert to fraction form
    538,164/742,666.50 = 311,940.72/x
  3. Step 3: Cross multiply
    538,164x = 742,666.50 × 311,940.72
  4. Step 4: Simplify right side
    538,164x = 231,667,922,729.88
  5. Step 5: Solve for x
    x = 231,667,922,729.88/538,164
  6. Step 6: Final answer
    x = 430,478.30

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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.