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Finding the Fourth Proportional to 548,031.60, 822,892.20 and 299,199.60

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Solution

The fourth proportional to 548,031.60, 822,892.20 and 299,199.60 is: 449,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,031.60 : 822,892.20 = 299,199.60 : x
  2. Step 2: Convert to fraction form
    548,031.60/822,892.20 = 299,199.60/x
  3. Step 3: Cross multiply
    548,031.60x = 822,892.20 × 299,199.60
  4. Step 4: Simplify right side
    548,031.60x = 246,209,017,083.12
  5. Step 5: Solve for x
    x = 246,209,017,083.12/548,031.60
  6. Step 6: Final answer
    x = 449,260.62

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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.