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Finding the Fourth Proportional to 406,624.32, 561,163.14 and 225,356.04

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Solution

The fourth proportional to 406,624.32, 561,163.14 and 225,356.04 is: 311,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,624.32 : 561,163.14 = 225,356.04 : x
  2. Step 2: Convert to fraction form
    406,624.32/561,163.14 = 225,356.04/x
  3. Step 3: Cross multiply
    406,624.32x = 561,163.14 × 225,356.04
  4. Step 4: Simplify right side
    406,624.32x = 126,461,503,024.37
  5. Step 5: Solve for x
    x = 126,461,503,024.37/406,624.32
  6. Step 6: Final answer
    x = 311,003.29

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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.