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Finding the Fourth Proportional to 341,898.40, 512,942.40 and 142,312.80

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Solution

The fourth proportional to 341,898.40, 512,942.40 and 142,312.80 is: 213,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,898.40 : 512,942.40 = 142,312.80 : x
  2. Step 2: Convert to fraction form
    341,898.40/512,942.40 = 142,312.80/x
  3. Step 3: Cross multiply
    341,898.40x = 512,942.40 × 142,312.80
  4. Step 4: Simplify right side
    341,898.40x = 72,998,269,182.72
  5. Step 5: Solve for x
    x = 72,998,269,182.72/341,898.40
  6. Step 6: Final answer
    x = 213,508.66

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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.