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Finding the Fourth Proportional to 537,486.82, 806,202.88 and 200,500.90

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Solution

The fourth proportional to 537,486.82, 806,202.88 and 200,500.90 is: 300,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,486.82 : 806,202.88 = 200,500.90 : x
  2. Step 2: Convert to fraction form
    537,486.82/806,202.88 = 200,500.90/x
  3. Step 3: Cross multiply
    537,486.82x = 806,202.88 × 200,500.90
  4. Step 4: Simplify right side
    537,486.82x = 161,644,403,022.59
  5. Step 5: Solve for x
    x = 161,644,403,022.59/537,486.82
  6. Step 6: Final answer
    x = 300,741.15

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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.