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Finding the Fourth Proportional to 411,644.20, 618,503.10 and 261,956.20

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Solution

The fourth proportional to 411,644.20, 618,503.10 and 261,956.20 is: 393,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,644.20 : 618,503.10 = 261,956.20 : x
  2. Step 2: Convert to fraction form
    411,644.20/618,503.10 = 261,956.20/x
  3. Step 3: Cross multiply
    411,644.20x = 618,503.10 × 261,956.20
  4. Step 4: Simplify right side
    411,644.20x = 162,020,721,764.22
  5. Step 5: Solve for x
    x = 162,020,721,764.22/411,644.20
  6. Step 6: Final answer
    x = 393,594.08

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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.