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Finding the Fourth Proportional to 329,149.34, 492,880.70 and 227,807

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Solution

The fourth proportional to 329,149.34, 492,880.70 and 227,807 is: 341,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,149.34 : 492,880.70 = 227,807 : x
  2. Step 2: Convert to fraction form
    329,149.34/492,880.70 = 227,807/x
  3. Step 3: Cross multiply
    329,149.34x = 492,880.70 × 227,807
  4. Step 4: Simplify right side
    329,149.34x = 112,281,673,624.90
  5. Step 5: Solve for x
    x = 112,281,673,624.90/329,149.34
  6. Step 6: Final answer
    x = 341,126.84

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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.