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Finding the Fourth Proportional to 273,396.64, 410,187.36 and 172,270.72

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Solution

The fourth proportional to 273,396.64, 410,187.36 and 172,270.72 is: 258,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,396.64 : 410,187.36 = 172,270.72 : x
  2. Step 2: Convert to fraction form
    273,396.64/410,187.36 = 172,270.72/x
  3. Step 3: Cross multiply
    273,396.64x = 410,187.36 × 172,270.72
  4. Step 4: Simplify right side
    273,396.64x = 70,663,271,842.10
  5. Step 5: Solve for x
    x = 70,663,271,842.10/273,396.64
  6. Step 6: Final answer
    x = 258,464.30

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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.