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Finding the Fourth Proportional to 284,866.20, 427,364.10 and 166,476.60

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Solution

The fourth proportional to 284,866.20, 427,364.10 and 166,476.60 is: 249,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,866.20 : 427,364.10 = 166,476.60 : x
  2. Step 2: Convert to fraction form
    284,866.20/427,364.10 = 166,476.60/x
  3. Step 3: Cross multiply
    284,866.20x = 427,364.10 × 166,476.60
  4. Step 4: Simplify right side
    284,866.20x = 71,146,122,330.06
  5. Step 5: Solve for x
    x = 71,146,122,330.06/284,866.20
  6. Step 6: Final answer
    x = 249,752.77

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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.