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Finding the Fourth Proportional to 543,252.32, 814,415.12 and 206,104.40

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Solution

The fourth proportional to 543,252.32, 814,415.12 and 206,104.40 is: 308,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,252.32 : 814,415.12 = 206,104.40 : x
  2. Step 2: Convert to fraction form
    543,252.32/814,415.12 = 206,104.40/x
  3. Step 3: Cross multiply
    543,252.32x = 814,415.12 × 206,104.40
  4. Step 4: Simplify right side
    543,252.32x = 167,854,539,658.53
  5. Step 5: Solve for x
    x = 167,854,539,658.53/543,252.32
  6. Step 6: Final answer
    x = 308,980.81

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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.