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Finding the Fourth Proportional to 548,055.94, 822,270 and 295,361.74

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Solution

The fourth proportional to 548,055.94, 822,270 and 295,361.74 is: 443,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,055.94 : 822,270 = 295,361.74 : x
  2. Step 2: Convert to fraction form
    548,055.94/822,270 = 295,361.74/x
  3. Step 3: Cross multiply
    548,055.94x = 822,270 × 295,361.74
  4. Step 4: Simplify right side
    548,055.94x = 242,867,097,949.80
  5. Step 5: Solve for x
    x = 242,867,097,949.80/548,055.94
  6. Step 6: Final answer
    x = 443,142.90

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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.