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Finding the Fourth Proportional to 456,470.80, 684,706.20 and 422,353.60

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Solution

The fourth proportional to 456,470.80, 684,706.20 and 422,353.60 is: 633,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470.80 : 684,706.20 = 422,353.60 : x
  2. Step 2: Convert to fraction form
    456,470.80/684,706.20 = 422,353.60/x
  3. Step 3: Cross multiply
    456,470.80x = 684,706.20 × 422,353.60
  4. Step 4: Simplify right side
    456,470.80x = 289,188,128,512.32
  5. Step 5: Solve for x
    x = 289,188,128,512.32/456,470.80
  6. Step 6: Final answer
    x = 633,530.40

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Similar ratio
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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.