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Finding the Fourth Proportional to 647,675.40, 971,999.10 and 331,969.80

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Solution

The fourth proportional to 647,675.40, 971,999.10 and 331,969.80 is: 498,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,675.40 : 971,999.10 = 331,969.80 : x
  2. Step 2: Convert to fraction form
    647,675.40/971,999.10 = 331,969.80/x
  3. Step 3: Cross multiply
    647,675.40x = 971,999.10 × 331,969.80
  4. Step 4: Simplify right side
    647,675.40x = 322,674,346,827.18
  5. Step 5: Solve for x
    x = 322,674,346,827.18/647,675.40
  6. Step 6: Final answer
    x = 498,203.80

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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.