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Finding the Fourth Proportional to 495,757.64, 743,630.52 and 180,211.88

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Solution

The fourth proportional to 495,757.64, 743,630.52 and 180,211.88 is: 270,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,757.64 : 743,630.52 = 180,211.88 : x
  2. Step 2: Convert to fraction form
    495,757.64/743,630.52 = 180,211.88/x
  3. Step 3: Cross multiply
    495,757.64x = 743,630.52 × 180,211.88
  4. Step 4: Simplify right side
    495,757.64x = 134,011,054,034.58
  5. Step 5: Solve for x
    x = 134,011,054,034.58/495,757.64
  6. Step 6: Final answer
    x = 270,315.66

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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.