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Finding the Fourth Proportional to 548,200.64, 822,394.72 and 188,354.24

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Solution

The fourth proportional to 548,200.64, 822,394.72 and 188,354.24 is: 282,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,200.64 : 822,394.72 = 188,354.24 : x
  2. Step 2: Convert to fraction form
    548,200.64/822,394.72 = 188,354.24/x
  3. Step 3: Cross multiply
    548,200.64x = 822,394.72 × 188,354.24
  4. Step 4: Simplify right side
    548,200.64x = 154,901,532,465.61
  5. Step 5: Solve for x
    x = 154,901,532,465.61/548,200.64
  6. Step 6: Final answer
    x = 282,563.57

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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.