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Finding the Fourth Proportional to 538,126.72, 742,620 and 296,410.36

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Solution

The fourth proportional to 538,126.72, 742,620 and 296,410.36 is: 409,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,126.72 : 742,620 = 296,410.36 : x
  2. Step 2: Convert to fraction form
    538,126.72/742,620 = 296,410.36/x
  3. Step 3: Cross multiply
    538,126.72x = 742,620 × 296,410.36
  4. Step 4: Simplify right side
    538,126.72x = 220,120,261,543.20
  5. Step 5: Solve for x
    x = 220,120,261,543.20/538,126.72
  6. Step 6: Final answer
    x = 409,049.12

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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.