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Finding the Fourth Proportional to 537,576.42, 806,302.26 and 200,628.84

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Solution

The fourth proportional to 537,576.42, 806,302.26 and 200,628.84 is: 300,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,576.42 : 806,302.26 = 200,628.84 : x
  2. Step 2: Convert to fraction form
    537,576.42/806,302.26 = 200,628.84/x
  3. Step 3: Cross multiply
    537,576.42x = 806,302.26 × 200,628.84
  4. Step 4: Simplify right side
    537,576.42x = 161,767,487,113.18
  5. Step 5: Solve for x
    x = 161,767,487,113.18/537,576.42
  6. Step 6: Final answer
    x = 300,919.98

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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.