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Finding the Fourth Proportional to 647,687.12, 971,516.10 and 292,605.80

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Solution

The fourth proportional to 647,687.12, 971,516.10 and 292,605.80 is: 438,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,687.12 : 971,516.10 = 292,605.80 : x
  2. Step 2: Convert to fraction form
    647,687.12/971,516.10 = 292,605.80/x
  3. Step 3: Cross multiply
    647,687.12x = 971,516.10 × 292,605.80
  4. Step 4: Simplify right side
    647,687.12x = 284,271,245,653.38
  5. Step 5: Solve for x
    x = 284,271,245,653.38/647,687.12
  6. Step 6: Final answer
    x = 438,902.11

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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.