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Finding the Fourth Proportional to 284,906.48, 427,125.48 and 166,285.04

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Solution

The fourth proportional to 284,906.48, 427,125.48 and 166,285.04 is: 249,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,906.48 : 427,125.48 = 166,285.04 : x
  2. Step 2: Convert to fraction form
    284,906.48/427,125.48 = 166,285.04/x
  3. Step 3: Cross multiply
    284,906.48x = 427,125.48 × 166,285.04
  4. Step 4: Simplify right side
    284,906.48x = 71,024,577,526.82
  5. Step 5: Solve for x
    x = 71,024,577,526.82/284,906.48
  6. Step 6: Final answer
    x = 249,290.85

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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.