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Finding the Fourth Proportional to 412,624.83, 568,899.01 and 294,892.48

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Solution

The fourth proportional to 412,624.83, 568,899.01 and 294,892.48 is: 406,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,624.83 : 568,899.01 = 294,892.48 : x
  2. Step 2: Convert to fraction form
    412,624.83/568,899.01 = 294,892.48/x
  3. Step 3: Cross multiply
    412,624.83x = 568,899.01 × 294,892.48
  4. Step 4: Simplify right side
    412,624.83x = 167,764,041,008.18
  5. Step 5: Solve for x
    x = 167,764,041,008.18/412,624.83
  6. Step 6: Final answer
    x = 406,577.66

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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.