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Finding the Fourth Proportional to 397,109.76, 548,015.70 and 215,821.70

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Solution

The fourth proportional to 397,109.76, 548,015.70 and 215,821.70 is: 297,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,109.76 : 548,015.70 = 215,821.70 : x
  2. Step 2: Convert to fraction form
    397,109.76/548,015.70 = 215,821.70/x
  3. Step 3: Cross multiply
    397,109.76x = 548,015.70 × 215,821.70
  4. Step 4: Simplify right side
    397,109.76x = 118,273,680,000.69
  5. Step 5: Solve for x
    x = 118,273,680,000.69/397,109.76
  6. Step 6: Final answer
    x = 297,836.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.