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Finding the Fourth Proportional to 272,024.35, 407,114.92 and 272,024.35

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Solution

The fourth proportional to 272,024.35, 407,114.92 and 272,024.35 is: 407,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,024.35 : 407,114.92 = 272,024.35 : x
  2. Step 2: Convert to fraction form
    272,024.35/407,114.92 = 272,024.35/x
  3. Step 3: Cross multiply
    272,024.35x = 407,114.92 × 272,024.35
  4. Step 4: Simplify right side
    272,024.35x = 110,745,171,488.30
  5. Step 5: Solve for x
    x = 110,745,171,488.30/272,024.35
  6. Step 6: Final answer
    x = 407,114.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.