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Finding the Fourth Proportional to 273,924.36, 410,305.08 and 178,818.48

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Solution

The fourth proportional to 273,924.36, 410,305.08 and 178,818.48 is: 267,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,924.36 : 410,305.08 = 178,818.48 : x
  2. Step 2: Convert to fraction form
    273,924.36/410,305.08 = 178,818.48/x
  3. Step 3: Cross multiply
    273,924.36x = 410,305.08 × 178,818.48
  4. Step 4: Simplify right side
    273,924.36x = 73,370,130,741.88
  5. Step 5: Solve for x
    x = 73,370,130,741.88/273,924.36
  6. Step 6: Final answer
    x = 267,848.14

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Why These Related Problems?

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