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Finding the Fourth Proportional to 552,096.80, 828,145.20 and 384,135.20

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Solution

The fourth proportional to 552,096.80, 828,145.20 and 384,135.20 is: 576,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096.80 : 828,145.20 = 384,135.20 : x
  2. Step 2: Convert to fraction form
    552,096.80/828,145.20 = 384,135.20/x
  3. Step 3: Cross multiply
    552,096.80x = 828,145.20 × 384,135.20
  4. Step 4: Simplify right side
    552,096.80x = 318,119,722,031.04
  5. Step 5: Solve for x
    x = 318,119,722,031.04/552,096.80
  6. Step 6: Final answer
    x = 576,202.80

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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.