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Finding the Fourth Proportional to 331,551.60, 497,327.40 and 206,962.80

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Solution

The fourth proportional to 331,551.60, 497,327.40 and 206,962.80 is: 310,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,551.60 : 497,327.40 = 206,962.80 : x
  2. Step 2: Convert to fraction form
    331,551.60/497,327.40 = 206,962.80/x
  3. Step 3: Cross multiply
    331,551.60x = 497,327.40 × 206,962.80
  4. Step 4: Simplify right side
    331,551.60x = 102,928,271,220.72
  5. Step 5: Solve for x
    x = 102,928,271,220.72/331,551.60
  6. Step 6: Final answer
    x = 310,444.20

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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.