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Finding the Fourth Proportional to 538,113, 742,595.94 and 311,889.72

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Solution

The fourth proportional to 538,113, 742,595.94 and 311,889.72 is: 430,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,113 : 742,595.94 = 311,889.72 : x
  2. Step 2: Convert to fraction form
    538,113/742,595.94 = 311,889.72/x
  3. Step 3: Cross multiply
    538,113x = 742,595.94 × 311,889.72
  4. Step 4: Simplify right side
    538,113x = 231,608,039,799.74
  5. Step 5: Solve for x
    x = 231,608,039,799.74/538,113
  6. Step 6: Final answer
    x = 430,407.81

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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.