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Finding the Fourth Proportional to 538,112, 742,594.56 and 311,888.72

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Solution

The fourth proportional to 538,112, 742,594.56 and 311,888.72 is: 430,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,112 : 742,594.56 = 311,888.72 : x
  2. Step 2: Convert to fraction form
    538,112/742,594.56 = 311,888.72/x
  3. Step 3: Cross multiply
    538,112x = 742,594.56 × 311,888.72
  4. Step 4: Simplify right side
    538,112x = 231,606,866,797.36
  5. Step 5: Solve for x
    x = 231,606,866,797.36/538,112
  6. Step 6: Final answer
    x = 430,406.43

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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.