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Finding the Fourth Proportional to 319,044.24, 478,675.20 and 200,576.88

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Solution

The fourth proportional to 319,044.24, 478,675.20 and 200,576.88 is: 300,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,044.24 : 478,675.20 = 200,576.88 : x
  2. Step 2: Convert to fraction form
    319,044.24/478,675.20 = 200,576.88/x
  3. Step 3: Cross multiply
    319,044.24x = 478,675.20 × 200,576.88
  4. Step 4: Simplify right side
    319,044.24x = 96,011,178,149.38
  5. Step 5: Solve for x
    x = 96,011,178,149.38/319,044.24
  6. Step 6: Final answer
    x = 300,933.75

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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.