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Finding the Fourth Proportional to 548,378.64, 822,572.28 and 193,311.36

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Solution

The fourth proportional to 548,378.64, 822,572.28 and 193,311.36 is: 289,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,378.64 : 822,572.28 = 193,311.36 : x
  2. Step 2: Convert to fraction form
    548,378.64/822,572.28 = 193,311.36/x
  3. Step 3: Cross multiply
    548,378.64x = 822,572.28 × 193,311.36
  4. Step 4: Simplify right side
    548,378.64x = 159,012,566,145.10
  5. Step 5: Solve for x
    x = 159,012,566,145.10/548,378.64
  6. Step 6: Final answer
    x = 289,968.56

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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.