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Finding the Fourth Proportional to 458,672.80, 688,009.20 and 427,568.80

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Solution

The fourth proportional to 458,672.80, 688,009.20 and 427,568.80 is: 641,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,672.80 : 688,009.20 = 427,568.80 : x
  2. Step 2: Convert to fraction form
    458,672.80/688,009.20 = 427,568.80/x
  3. Step 3: Cross multiply
    458,672.80x = 688,009.20 × 427,568.80
  4. Step 4: Simplify right side
    458,672.80x = 294,171,268,032.96
  5. Step 5: Solve for x
    x = 294,171,268,032.96/458,672.80
  6. Step 6: Final answer
    x = 641,353.20

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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.