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Finding the Fourth Proportional to 538,178, 742,756.92 and 347,745.20

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Solution

The fourth proportional to 538,178, 742,756.92 and 347,745.20 is: 479,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,178 : 742,756.92 = 347,745.20 : x
  2. Step 2: Convert to fraction form
    538,178/742,756.92 = 347,745.20/x
  3. Step 3: Cross multiply
    538,178x = 742,756.92 × 347,745.20
  4. Step 4: Simplify right side
    538,178x = 258,290,153,696.78
  5. Step 5: Solve for x
    x = 258,290,153,696.78/538,178
  6. Step 6: Final answer
    x = 479,934.43

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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.