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Finding the Fourth Proportional to 216,383.20, 324,574.80 and 208,088.80

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Solution

The fourth proportional to 216,383.20, 324,574.80 and 208,088.80 is: 312,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,383.20 : 324,574.80 = 208,088.80 : x
  2. Step 2: Convert to fraction form
    216,383.20/324,574.80 = 208,088.80/x
  3. Step 3: Cross multiply
    216,383.20x = 324,574.80 × 208,088.80
  4. Step 4: Simplify right side
    216,383.20x = 67,540,380,642.24
  5. Step 5: Solve for x
    x = 67,540,380,642.24/216,383.20
  6. Step 6: Final answer
    x = 312,133.20

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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.