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Finding the Fourth Proportional to 398,908.80, 598,654.80 and 280,810.80

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Solution

The fourth proportional to 398,908.80, 598,654.80 and 280,810.80 is: 421,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,908.80 : 598,654.80 = 280,810.80 : x
  2. Step 2: Convert to fraction form
    398,908.80/598,654.80 = 280,810.80/x
  3. Step 3: Cross multiply
    398,908.80x = 598,654.80 × 280,810.80
  4. Step 4: Simplify right side
    398,908.80x = 168,108,733,311.84
  5. Step 5: Solve for x
    x = 168,108,733,311.84/398,908.80
  6. Step 6: Final answer
    x = 421,421.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.