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Finding the Fourth Proportional to 536,711.20, 804,145.20 and 283,616.80

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Solution

The fourth proportional to 536,711.20, 804,145.20 and 283,616.80 is: 424,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,711.20 : 804,145.20 = 283,616.80 : x
  2. Step 2: Convert to fraction form
    536,711.20/804,145.20 = 283,616.80/x
  3. Step 3: Cross multiply
    536,711.20x = 804,145.20 × 283,616.80
  4. Step 4: Simplify right side
    536,711.20x = 228,069,088,359.36
  5. Step 5: Solve for x
    x = 228,069,088,359.36/536,711.20
  6. Step 6: Final answer
    x = 424,938.19

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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.