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Finding the Fourth Proportional to 406,620.72, 561,148.89 and 225,315.69

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Solution

The fourth proportional to 406,620.72, 561,148.89 and 225,315.69 is: 310,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,620.72 : 561,148.89 = 225,315.69 : x
  2. Step 2: Convert to fraction form
    406,620.72/561,148.89 = 225,315.69/x
  3. Step 3: Cross multiply
    406,620.72x = 561,148.89 × 225,315.69
  4. Step 4: Simplify right side
    406,620.72x = 126,435,649,343.08
  5. Step 5: Solve for x
    x = 126,435,649,343.08/406,620.72
  6. Step 6: Final answer
    x = 310,942.47

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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.