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Finding the Fourth Proportional to 264,934.20, 397,401.30 and 180,953.40

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Solution

The fourth proportional to 264,934.20, 397,401.30 and 180,953.40 is: 271,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,934.20 : 397,401.30 = 180,953.40 : x
  2. Step 2: Convert to fraction form
    264,934.20/397,401.30 = 180,953.40/x
  3. Step 3: Cross multiply
    264,934.20x = 397,401.30 × 180,953.40
  4. Step 4: Simplify right side
    264,934.20x = 71,911,116,399.42
  5. Step 5: Solve for x
    x = 71,911,116,399.42/264,934.20
  6. Step 6: Final answer
    x = 271,430.10

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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.