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Finding the Fourth Proportional to 415,772.20, 623,658.30 and 205,820.20

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Solution

The fourth proportional to 415,772.20, 623,658.30 and 205,820.20 is: 308,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,772.20 : 623,658.30 = 205,820.20 : x
  2. Step 2: Convert to fraction form
    415,772.20/623,658.30 = 205,820.20/x
  3. Step 3: Cross multiply
    415,772.20x = 623,658.30 × 205,820.20
  4. Step 4: Simplify right side
    415,772.20x = 128,361,476,037.66
  5. Step 5: Solve for x
    x = 128,361,476,037.66/415,772.20
  6. Step 6: Final answer
    x = 308,730.30

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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.