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Finding the Fourth Proportional to 297,810.60, 446,715.90 and 213,829.80

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Solution

The fourth proportional to 297,810.60, 446,715.90 and 213,829.80 is: 320,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,810.60 : 446,715.90 = 213,829.80 : x
  2. Step 2: Convert to fraction form
    297,810.60/446,715.90 = 213,829.80/x
  3. Step 3: Cross multiply
    297,810.60x = 446,715.90 × 213,829.80
  4. Step 4: Simplify right side
    297,810.60x = 95,521,171,553.82
  5. Step 5: Solve for x
    x = 95,521,171,553.82/297,810.60
  6. Step 6: Final answer
    x = 320,744.70

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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.