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Finding the Fourth Proportional to 552,093.40, 828,140.10 and 384,131.80

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Solution

The fourth proportional to 552,093.40, 828,140.10 and 384,131.80 is: 576,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,093.40 : 828,140.10 = 384,131.80 : x
  2. Step 2: Convert to fraction form
    552,093.40/828,140.10 = 384,131.80/x
  3. Step 3: Cross multiply
    552,093.40x = 828,140.10 × 384,131.80
  4. Step 4: Simplify right side
    552,093.40x = 318,114,947,265.18
  5. Step 5: Solve for x
    x = 318,114,947,265.18/552,093.40
  6. Step 6: Final answer
    x = 576,197.70

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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.