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Finding the Fourth Proportional to 468,104.28, 646,000.46 and 264,143.31

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Solution

The fourth proportional to 468,104.28, 646,000.46 and 264,143.31 is: 364,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,104.28 : 646,000.46 = 264,143.31 : x
  2. Step 2: Convert to fraction form
    468,104.28/646,000.46 = 264,143.31/x
  3. Step 3: Cross multiply
    468,104.28x = 646,000.46 × 264,143.31
  4. Step 4: Simplify right side
    468,104.28x = 170,636,699,765.92
  5. Step 5: Solve for x
    x = 170,636,699,765.92/468,104.28
  6. Step 6: Final answer
    x = 364,527.11

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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.