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Finding the Fourth Proportional to 647,932.80, 972,336.60 and 422,744.70

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Solution

The fourth proportional to 647,932.80, 972,336.60 and 422,744.70 is: 634,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,932.80 : 972,336.60 = 422,744.70 : x
  2. Step 2: Convert to fraction form
    647,932.80/972,336.60 = 422,744.70/x
  3. Step 3: Cross multiply
    647,932.80x = 972,336.60 × 422,744.70
  4. Step 4: Simplify right side
    647,932.80x = 411,050,144,266.02
  5. Step 5: Solve for x
    x = 411,050,144,266.02/647,932.80
  6. Step 6: Final answer
    x = 634,402.43

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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.