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Finding the Fourth Proportional to 482,563.90, 723,610.01 and 198,178.44

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Solution

The fourth proportional to 482,563.90, 723,610.01 and 198,178.44 is: 297,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,563.90 : 723,610.01 = 198,178.44 : x
  2. Step 2: Convert to fraction form
    482,563.90/723,610.01 = 198,178.44/x
  3. Step 3: Cross multiply
    482,563.90x = 723,610.01 × 198,178.44
  4. Step 4: Simplify right side
    482,563.90x = 143,403,898,341.24
  5. Step 5: Solve for x
    x = 143,403,898,341.24/482,563.90
  6. Step 6: Final answer
    x = 297,170.80

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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.