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Finding the Fourth Proportional to 538,042.56, 742,532.30 and 296,325.07

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Solution

The fourth proportional to 538,042.56, 742,532.30 and 296,325.07 is: 408,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,042.56 : 742,532.30 = 296,325.07 : x
  2. Step 2: Convert to fraction form
    538,042.56/742,532.30 = 296,325.07/x
  3. Step 3: Cross multiply
    538,042.56x = 742,532.30 × 296,325.07
  4. Step 4: Simplify right side
    538,042.56x = 220,030,935,774.76
  5. Step 5: Solve for x
    x = 220,030,935,774.76/538,042.56
  6. Step 6: Final answer
    x = 408,947.08

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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.