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Finding the Fourth Proportional to 455,523.20, 683,284.80 and 206,205.20

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Solution

The fourth proportional to 455,523.20, 683,284.80 and 206,205.20 is: 309,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,523.20 : 683,284.80 = 206,205.20 : x
  2. Step 2: Convert to fraction form
    455,523.20/683,284.80 = 206,205.20/x
  3. Step 3: Cross multiply
    455,523.20x = 683,284.80 × 206,205.20
  4. Step 4: Simplify right side
    455,523.20x = 140,896,878,840.96
  5. Step 5: Solve for x
    x = 140,896,878,840.96/455,523.20
  6. Step 6: Final answer
    x = 309,307.80

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Similar ratio
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1.5x scale

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.