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Finding the Fourth Proportional to 667,465.92, 999,449.28 and 457,513.92

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Solution

The fourth proportional to 667,465.92, 999,449.28 and 457,513.92 is: 685,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,465.92 : 999,449.28 = 457,513.92 : x
  2. Step 2: Convert to fraction form
    667,465.92/999,449.28 = 457,513.92/x
  3. Step 3: Cross multiply
    667,465.92x = 999,449.28 × 457,513.92
  4. Step 4: Simplify right side
    667,465.92x = 457,261,957,933.98
  5. Step 5: Solve for x
    x = 457,261,957,933.98/667,465.92
  6. Step 6: Final answer
    x = 685,071.62

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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.