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Finding the Fourth Proportional to 406,784.45, 561,303.42 and 225,496.22

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Solution

The fourth proportional to 406,784.45, 561,303.42 and 225,496.22 is: 311,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,784.45 : 561,303.42 = 225,496.22 : x
  2. Step 2: Convert to fraction form
    406,784.45/561,303.42 = 225,496.22/x
  3. Step 3: Cross multiply
    406,784.45x = 561,303.42 × 225,496.22
  4. Step 4: Simplify right side
    406,784.45x = 126,571,796,676.56
  5. Step 5: Solve for x
    x = 126,571,796,676.56/406,784.45
  6. Step 6: Final answer
    x = 311,152.01

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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.