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Finding the Fourth Proportional to 548,223, 822,455.46 and 232,949.40

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Solution

The fourth proportional to 548,223, 822,455.46 and 232,949.40 is: 349,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,223 : 822,455.46 = 232,949.40 : x
  2. Step 2: Convert to fraction form
    548,223/822,455.46 = 232,949.40/x
  3. Step 3: Cross multiply
    548,223x = 822,455.46 × 232,949.40
  4. Step 4: Simplify right side
    548,223x = 191,590,505,933.72
  5. Step 5: Solve for x
    x = 191,590,505,933.72/548,223
  6. Step 6: Final answer
    x = 349,475.50

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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.