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Finding the Fourth Proportional to 453,840.80, 680,761.20 and 313,872.80

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Solution

The fourth proportional to 453,840.80, 680,761.20 and 313,872.80 is: 470,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,840.80 : 680,761.20 = 313,872.80 : x
  2. Step 2: Convert to fraction form
    453,840.80/680,761.20 = 313,872.80/x
  3. Step 3: Cross multiply
    453,840.80x = 680,761.20 × 313,872.80
  4. Step 4: Simplify right side
    453,840.80x = 213,672,423,975.36
  5. Step 5: Solve for x
    x = 213,672,423,975.36/453,840.80
  6. Step 6: Final answer
    x = 470,809.20

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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.