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Finding the Fourth Proportional to 598,213.82, 825,502.19 and 340,054.88

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Solution

The fourth proportional to 598,213.82, 825,502.19 and 340,054.88 is: 469,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,213.82 : 825,502.19 = 340,054.88 : x
  2. Step 2: Convert to fraction form
    598,213.82/825,502.19 = 340,054.88/x
  3. Step 3: Cross multiply
    598,213.82x = 825,502.19 × 340,054.88
  4. Step 4: Simplify right side
    598,213.82x = 280,716,042,332.40
  5. Step 5: Solve for x
    x = 280,716,042,332.40/598,213.82
  6. Step 6: Final answer
    x = 469,257.03

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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.