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Finding the Fourth Proportional to 270,533.27, 405,682.35 and 128,419.27

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Solution

The fourth proportional to 270,533.27, 405,682.35 and 128,419.27 is: 192,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,533.27 : 405,682.35 = 128,419.27 : x
  2. Step 2: Convert to fraction form
    270,533.27/405,682.35 = 128,419.27/x
  3. Step 3: Cross multiply
    270,533.27x = 405,682.35 × 128,419.27
  4. Step 4: Simplify right side
    270,533.27x = 52,097,432,386.25
  5. Step 5: Solve for x
    x = 52,097,432,386.25/270,533.27
  6. Step 6: Final answer
    x = 192,573.11

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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.