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Finding the Fourth Proportional to 341,818.24, 512,911.44 and 142,276.48

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Solution

The fourth proportional to 341,818.24, 512,911.44 and 142,276.48 is: 213,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,818.24 : 512,911.44 = 142,276.48 : x
  2. Step 2: Convert to fraction form
    341,818.24/512,911.44 = 142,276.48/x
  3. Step 3: Cross multiply
    341,818.24x = 512,911.44 × 142,276.48
  4. Step 4: Simplify right side
    341,818.24x = 72,975,234,234.93
  5. Step 5: Solve for x
    x = 72,975,234,234.93/341,818.24
  6. Step 6: Final answer
    x = 213,491.34

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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.