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Finding the Fourth Proportional to 307,376, 460,886.88 and 120,285.44

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Solution

The fourth proportional to 307,376, 460,886.88 and 120,285.44 is: 180,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,376 : 460,886.88 = 120,285.44 : x
  2. Step 2: Convert to fraction form
    307,376/460,886.88 = 120,285.44/x
  3. Step 3: Cross multiply
    307,376x = 460,886.88 × 120,285.44
  4. Step 4: Simplify right side
    307,376x = 55,437,981,151.03
  5. Step 5: Solve for x
    x = 55,437,981,151.03/307,376
  6. Step 6: Final answer
    x = 180,358.85

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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.