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Finding the Fourth Proportional to 537,434.41, 806,125.04 and 200,448.80

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Solution

The fourth proportional to 537,434.41, 806,125.04 and 200,448.80 is: 300,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,434.41 : 806,125.04 = 200,448.80 : x
  2. Step 2: Convert to fraction form
    537,434.41/806,125.04 = 200,448.80/x
  3. Step 3: Cross multiply
    537,434.41x = 806,125.04 × 200,448.80
  4. Step 4: Simplify right side
    537,434.41x = 161,586,797,997.42
  5. Step 5: Solve for x
    x = 161,586,797,997.42/537,434.41
  6. Step 6: Final answer
    x = 300,663.29

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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.