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Finding the Fourth Proportional to 406,661.05, 561,192.24 and 225,400.24

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Solution

The fourth proportional to 406,661.05, 561,192.24 and 225,400.24 is: 311,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,661.05 : 561,192.24 = 225,400.24 : x
  2. Step 2: Convert to fraction form
    406,661.05/561,192.24 = 225,400.24/x
  3. Step 3: Cross multiply
    406,661.05x = 561,192.24 × 225,400.24
  4. Step 4: Simplify right side
    406,661.05x = 126,492,865,582.14
  5. Step 5: Solve for x
    x = 126,492,865,582.14/406,661.05
  6. Step 6: Final answer
    x = 311,052.33

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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.