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Finding the Fourth Proportional to 538,559.28, 742,938.48 and 411,013.44

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Solution

The fourth proportional to 538,559.28, 742,938.48 and 411,013.44 is: 566,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,559.28 : 742,938.48 = 411,013.44 : x
  2. Step 2: Convert to fraction form
    538,559.28/742,938.48 = 411,013.44/x
  3. Step 3: Cross multiply
    538,559.28x = 742,938.48 × 411,013.44
  4. Step 4: Simplify right side
    538,559.28x = 305,357,700,373.17
  5. Step 5: Solve for x
    x = 305,357,700,373.17/538,559.28
  6. Step 6: Final answer
    x = 566,989.95

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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.