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Finding the Fourth Proportional to 455,020.80, 682,531.20 and 202,300.80

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Solution

The fourth proportional to 455,020.80, 682,531.20 and 202,300.80 is: 303,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,020.80 : 682,531.20 = 202,300.80 : x
  2. Step 2: Convert to fraction form
    455,020.80/682,531.20 = 202,300.80/x
  3. Step 3: Cross multiply
    455,020.80x = 682,531.20 × 202,300.80
  4. Step 4: Simplify right side
    455,020.80x = 138,076,607,784.96
  5. Step 5: Solve for x
    x = 138,076,607,784.96/455,020.80
  6. Step 6: Final answer
    x = 303,451.20

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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.