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Finding the Fourth Proportional to 516,394.98, 774,418.32 and 196,470.90

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Solution

The fourth proportional to 516,394.98, 774,418.32 and 196,470.90 is: 294,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,394.98 : 774,418.32 = 196,470.90 : x
  2. Step 2: Convert to fraction form
    516,394.98/774,418.32 = 196,470.90/x
  3. Step 3: Cross multiply
    516,394.98x = 774,418.32 × 196,470.90
  4. Step 4: Simplify right side
    516,394.98x = 152,150,664,306.89
  5. Step 5: Solve for x
    x = 152,150,664,306.89/516,394.98
  6. Step 6: Final answer
    x = 294,640.09

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1.5x scale

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.