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Finding the Fourth Proportional to 443,299.50, 611,753.31 and 242,095.50

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Solution

The fourth proportional to 443,299.50, 611,753.31 and 242,095.50 is: 334,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,299.50 : 611,753.31 = 242,095.50 : x
  2. Step 2: Convert to fraction form
    443,299.50/611,753.31 = 242,095.50/x
  3. Step 3: Cross multiply
    443,299.50x = 611,753.31 × 242,095.50
  4. Step 4: Simplify right side
    443,299.50x = 148,102,723,461.11
  5. Step 5: Solve for x
    x = 148,102,723,461.11/443,299.50
  6. Step 6: Final answer
    x = 334,091.79

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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.