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Finding the Fourth Proportional to 443,310.98, 611,784.24 and 262,178.17

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Solution

The fourth proportional to 443,310.98, 611,784.24 and 262,178.17 is: 361,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,310.98 : 611,784.24 = 262,178.17 : x
  2. Step 2: Convert to fraction form
    443,310.98/611,784.24 = 262,178.17/x
  3. Step 3: Cross multiply
    443,310.98x = 611,784.24 × 262,178.17
  4. Step 4: Simplify right side
    443,310.98x = 160,396,471,440.16
  5. Step 5: Solve for x
    x = 160,396,471,440.16/443,310.98
  6. Step 6: Final answer
    x = 361,814.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.