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Finding the Fourth Proportional to 284,714.60, 426,853.20 and 160,055.60

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Solution

The fourth proportional to 284,714.60, 426,853.20 and 160,055.60 is: 239,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,714.60 : 426,853.20 = 160,055.60 : x
  2. Step 2: Convert to fraction form
    284,714.60/426,853.20 = 160,055.60/x
  3. Step 3: Cross multiply
    284,714.60x = 426,853.20 × 160,055.60
  4. Step 4: Simplify right side
    284,714.60x = 68,320,245,037.92
  5. Step 5: Solve for x
    x = 68,320,245,037.92/284,714.60
  6. Step 6: Final answer
    x = 239,960.46

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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.