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Finding the Fourth Proportional to 456,824.80, 685,237.20 and 410,168.80

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Solution

The fourth proportional to 456,824.80, 685,237.20 and 410,168.80 is: 615,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,824.80 : 685,237.20 = 410,168.80 : x
  2. Step 2: Convert to fraction form
    456,824.80/685,237.20 = 410,168.80/x
  3. Step 3: Cross multiply
    456,824.80x = 685,237.20 × 410,168.80
  4. Step 4: Simplify right side
    456,824.80x = 281,062,920,039.36
  5. Step 5: Solve for x
    x = 281,062,920,039.36/456,824.80
  6. Step 6: Final answer
    x = 615,253.20

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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.