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Finding the Fourth Proportional to 284,827.20, 427,305.60 and 166,437.60

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Solution

The fourth proportional to 284,827.20, 427,305.60 and 166,437.60 is: 249,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,827.20 : 427,305.60 = 166,437.60 : x
  2. Step 2: Convert to fraction form
    284,827.20/427,305.60 = 166,437.60/x
  3. Step 3: Cross multiply
    284,827.20x = 427,305.60 × 166,437.60
  4. Step 4: Simplify right side
    284,827.20x = 71,119,718,530.56
  5. Step 5: Solve for x
    x = 71,119,718,530.56/284,827.20
  6. Step 6: Final answer
    x = 249,694.27

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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.