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Finding the Fourth Proportional to 284,865.80, 427,298.70 and 178,577.60

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Solution

The fourth proportional to 284,865.80, 427,298.70 and 178,577.60 is: 267,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,865.80 : 427,298.70 = 178,577.60 : x
  2. Step 2: Convert to fraction form
    284,865.80/427,298.70 = 178,577.60/x
  3. Step 3: Cross multiply
    284,865.80x = 427,298.70 × 178,577.60
  4. Step 4: Simplify right side
    284,865.80x = 76,305,976,329.12
  5. Step 5: Solve for x
    x = 76,305,976,329.12/284,865.80
  6. Step 6: Final answer
    x = 267,866.40

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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.