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Finding the Fourth Proportional to 466,435.80, 699,135.30 and 256,224.60

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Solution

The fourth proportional to 466,435.80, 699,135.30 and 256,224.60 is: 384,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,435.80 : 699,135.30 = 256,224.60 : x
  2. Step 2: Convert to fraction form
    466,435.80/699,135.30 = 256,224.60/x
  3. Step 3: Cross multiply
    466,435.80x = 699,135.30 × 256,224.60
  4. Step 4: Simplify right side
    466,435.80x = 179,135,662,588.38
  5. Step 5: Solve for x
    x = 179,135,662,588.38/466,435.80
  6. Step 6: Final answer
    x = 384,052.13

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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.