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Finding the Fourth Proportional to 456,222.96, 684,334.80 and 123,798.96

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Solution

The fourth proportional to 456,222.96, 684,334.80 and 123,798.96 is: 185,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,222.96 : 684,334.80 = 123,798.96 : x
  2. Step 2: Convert to fraction form
    456,222.96/684,334.80 = 123,798.96/x
  3. Step 3: Cross multiply
    456,222.96x = 684,334.80 × 123,798.96
  4. Step 4: Simplify right side
    456,222.96x = 84,719,936,531.81
  5. Step 5: Solve for x
    x = 84,719,936,531.81/456,222.96
  6. Step 6: Final answer
    x = 185,698.54

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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.