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Finding the Fourth Proportional to 542,576.94, 813,212.58 and 200,747.82

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Solution

The fourth proportional to 542,576.94, 813,212.58 and 200,747.82 is: 300,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,576.94 : 813,212.58 = 200,747.82 : x
  2. Step 2: Convert to fraction form
    542,576.94/813,212.58 = 200,747.82/x
  3. Step 3: Cross multiply
    542,576.94x = 813,212.58 × 200,747.82
  4. Step 4: Simplify right side
    542,576.94x = 163,250,655,304.72
  5. Step 5: Solve for x
    x = 163,250,655,304.72/542,576.94
  6. Step 6: Final answer
    x = 300,880.20

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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.