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Finding the Fourth Proportional to 284,362.60, 426,339.10 and 159,741.80

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Solution

The fourth proportional to 284,362.60, 426,339.10 and 159,741.80 is: 239,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,362.60 : 426,339.10 = 159,741.80 : x
  2. Step 2: Convert to fraction form
    284,362.60/426,339.10 = 159,741.80/x
  3. Step 3: Cross multiply
    284,362.60x = 426,339.10 × 159,741.80
  4. Step 4: Simplify right side
    284,362.60x = 68,104,175,244.38
  5. Step 5: Solve for x
    x = 68,104,175,244.38/284,362.60
  6. Step 6: Final answer
    x = 239,497.65

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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.