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Finding the Fourth Proportional to 647,626.23, 971,654.40 and 287,747.01

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Solution

The fourth proportional to 647,626.23, 971,654.40 and 287,747.01 is: 431,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,626.23 : 971,654.40 = 287,747.01 : x
  2. Step 2: Convert to fraction form
    647,626.23/971,654.40 = 287,747.01/x
  3. Step 3: Cross multiply
    647,626.23x = 971,654.40 × 287,747.01
  4. Step 4: Simplify right side
    647,626.23x = 279,590,648,353.34
  5. Step 5: Solve for x
    x = 279,590,648,353.34/647,626.23
  6. Step 6: Final answer
    x = 431,716.07

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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.