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Finding the Fourth Proportional to 538,246, 742,779.48 and 312,022.72

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Solution

The fourth proportional to 538,246, 742,779.48 and 312,022.72 is: 430,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,246 : 742,779.48 = 312,022.72 : x
  2. Step 2: Convert to fraction form
    538,246/742,779.48 = 312,022.72/x
  3. Step 3: Cross multiply
    538,246x = 742,779.48 × 312,022.72
  4. Step 4: Simplify right side
    538,246x = 231,764,073,709.79
  5. Step 5: Solve for x
    x = 231,764,073,709.79/538,246
  6. Step 6: Final answer
    x = 430,591.35

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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.