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Finding the Fourth Proportional to 421,169.16, 581,222.70 and 230,194.92

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Solution

The fourth proportional to 421,169.16, 581,222.70 and 230,194.92 is: 317,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,169.16 : 581,222.70 = 230,194.92 : x
  2. Step 2: Convert to fraction form
    421,169.16/581,222.70 = 230,194.92/x
  3. Step 3: Cross multiply
    421,169.16x = 581,222.70 × 230,194.92
  4. Step 4: Simplify right side
    421,169.16x = 133,794,512,928.68
  5. Step 5: Solve for x
    x = 133,794,512,928.68/421,169.16
  6. Step 6: Final answer
    x = 317,674.05

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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.