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Finding the Fourth Proportional to 432,814.45, 649,221.68 and 432,814.45

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Solution

The fourth proportional to 432,814.45, 649,221.68 and 432,814.45 is: 649,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,814.45 : 649,221.68 = 432,814.45 : x
  2. Step 2: Convert to fraction form
    432,814.45/649,221.68 = 432,814.45/x
  3. Step 3: Cross multiply
    432,814.45x = 649,221.68 × 432,814.45
  4. Step 4: Simplify right side
    432,814.45x = 280,992,524,357.28
  5. Step 5: Solve for x
    x = 280,992,524,357.28/432,814.45
  6. Step 6: Final answer
    x = 649,221.68

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1.5x scale

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.