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Finding the Fourth Proportional to 284,101.80, 426,644.78 and 151,241.55

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Solution

The fourth proportional to 284,101.80, 426,644.78 and 151,241.55 is: 227,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.80 : 426,644.78 = 151,241.55 : x
  2. Step 2: Convert to fraction form
    284,101.80/426,644.78 = 151,241.55/x
  3. Step 3: Cross multiply
    284,101.80x = 426,644.78 × 151,241.55
  4. Step 4: Simplify right side
    284,101.80x = 64,526,417,070.40
  5. Step 5: Solve for x
    x = 64,526,417,070.40/284,101.80
  6. Step 6: Final answer
    x = 227,124.28

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1.5x scale

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.