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Finding the Fourth Proportional to 495,762.44, 743,510.82 and 215,213

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Solution

The fourth proportional to 495,762.44, 743,510.82 and 215,213 is: 322,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,762.44 : 743,510.82 = 215,213 : x
  2. Step 2: Convert to fraction form
    495,762.44/743,510.82 = 215,213/x
  3. Step 3: Cross multiply
    495,762.44x = 743,510.82 × 215,213
  4. Step 4: Simplify right side
    495,762.44x = 160,013,194,104.66
  5. Step 5: Solve for x
    x = 160,013,194,104.66/495,762.44
  6. Step 6: Final answer
    x = 322,761.83

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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.