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Finding the Fourth Proportional to 537,436.53, 806,128.23 and 200,450.92

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Solution

The fourth proportional to 537,436.53, 806,128.23 and 200,450.92 is: 300,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,436.53 : 806,128.23 = 200,450.92 : x
  2. Step 2: Convert to fraction form
    537,436.53/806,128.23 = 200,450.92/x
  3. Step 3: Cross multiply
    537,436.53x = 806,128.23 × 200,450.92
  4. Step 4: Simplify right side
    537,436.53x = 161,589,145,341.47
  5. Step 5: Solve for x
    x = 161,589,145,341.47/537,436.53
  6. Step 6: Final answer
    x = 300,666.47

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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.