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Finding the Fourth Proportional to 329,891.40, 495,080.10 and 223,023.24

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Solution

The fourth proportional to 329,891.40, 495,080.10 and 223,023.24 is: 334,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,891.40 : 495,080.10 = 223,023.24 : x
  2. Step 2: Convert to fraction form
    329,891.40/495,080.10 = 223,023.24/x
  3. Step 3: Cross multiply
    329,891.40x = 495,080.10 × 223,023.24
  4. Step 4: Simplify right side
    329,891.40x = 110,414,367,961.52
  5. Step 5: Solve for x
    x = 110,414,367,961.52/329,891.40
  6. Step 6: Final answer
    x = 334,699.14

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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.