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Finding the Fourth Proportional to 493,406.54, 680,906.70 and 289,460.96

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Solution

The fourth proportional to 493,406.54, 680,906.70 and 289,460.96 is: 399,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,406.54 : 680,906.70 = 289,460.96 : x
  2. Step 2: Convert to fraction form
    493,406.54/680,906.70 = 289,460.96/x
  3. Step 3: Cross multiply
    493,406.54x = 680,906.70 × 289,460.96
  4. Step 4: Simplify right side
    493,406.54x = 197,095,907,052.43
  5. Step 5: Solve for x
    x = 197,095,907,052.43/493,406.54
  6. Step 6: Final answer
    x = 399,459.45

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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.