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Finding the Fourth Proportional to 284,276.60, 426,414.90 and 151,416.35

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Solution

The fourth proportional to 284,276.60, 426,414.90 and 151,416.35 is: 227,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,276.60 : 426,414.90 = 151,416.35 : x
  2. Step 2: Convert to fraction form
    284,276.60/426,414.90 = 151,416.35/x
  3. Step 3: Cross multiply
    284,276.60x = 426,414.90 × 151,416.35
  4. Step 4: Simplify right side
    284,276.60x = 64,566,187,743.62
  5. Step 5: Solve for x
    x = 64,566,187,743.62/284,276.60
  6. Step 6: Final answer
    x = 227,124.53

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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.