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Finding the Fourth Proportional to 429,165, 643,591.98 and 192,385.80

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Solution

The fourth proportional to 429,165, 643,591.98 and 192,385.80 is: 288,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,165 : 643,591.98 = 192,385.80 : x
  2. Step 2: Convert to fraction form
    429,165/643,591.98 = 192,385.80/x
  3. Step 3: Cross multiply
    429,165x = 643,591.98 × 192,385.80
  4. Step 4: Simplify right side
    429,165x = 123,817,957,945.88
  5. Step 5: Solve for x
    x = 123,817,957,945.88/429,165
  6. Step 6: Final answer
    x = 288,508.98

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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.