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Finding the Fourth Proportional to 264,979.22, 397,318.29 and 180,841.32

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Solution

The fourth proportional to 264,979.22, 397,318.29 and 180,841.32 is: 271,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,979.22 : 397,318.29 = 180,841.32 : x
  2. Step 2: Convert to fraction form
    264,979.22/397,318.29 = 180,841.32/x
  3. Step 3: Cross multiply
    264,979.22x = 397,318.29 × 180,841.32
  4. Step 4: Simplify right side
    264,979.22x = 71,851,564,023.74
  5. Step 5: Solve for x
    x = 71,851,564,023.74/264,979.22
  6. Step 6: Final answer
    x = 271,159.25

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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.