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Finding the Fourth Proportional to 493,073.64, 680,444.82 and 289,078.92

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Solution

The fourth proportional to 493,073.64, 680,444.82 and 289,078.92 is: 398,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,073.64 : 680,444.82 = 289,078.92 : x
  2. Step 2: Convert to fraction form
    493,073.64/680,444.82 = 289,078.92/x
  3. Step 3: Cross multiply
    493,073.64x = 680,444.82 × 289,078.92
  4. Step 4: Simplify right side
    493,073.64x = 196,702,253,685.19
  5. Step 5: Solve for x
    x = 196,702,253,685.19/493,073.64
  6. Step 6: Final answer
    x = 398,930.78

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1.5x scale

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.