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Finding the Fourth Proportional to 216,411.20, 324,616.80 and 213,300.80

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Solution

The fourth proportional to 216,411.20, 324,616.80 and 213,300.80 is: 319,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,411.20 : 324,616.80 = 213,300.80 : x
  2. Step 2: Convert to fraction form
    216,411.20/324,616.80 = 213,300.80/x
  3. Step 3: Cross multiply
    216,411.20x = 324,616.80 × 213,300.80
  4. Step 4: Simplify right side
    216,411.20x = 69,241,023,133.44
  5. Step 5: Solve for x
    x = 69,241,023,133.44/216,411.20
  6. Step 6: Final answer
    x = 319,951.20

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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.