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Finding the Fourth Proportional to 455,524.80, 683,287.20 and 202,804.80

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Solution

The fourth proportional to 455,524.80, 683,287.20 and 202,804.80 is: 304,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,524.80 : 683,287.20 = 202,804.80 : x
  2. Step 2: Convert to fraction form
    455,524.80/683,287.20 = 202,804.80/x
  3. Step 3: Cross multiply
    455,524.80x = 683,287.20 × 202,804.80
  4. Step 4: Simplify right side
    455,524.80x = 138,573,923,938.56
  5. Step 5: Solve for x
    x = 138,573,923,938.56/455,524.80
  6. Step 6: Final answer
    x = 304,207.20

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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.