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Finding the Fourth Proportional to 404,768.50, 607,046.88 and 120,382.42

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Solution

The fourth proportional to 404,768.50, 607,046.88 and 120,382.42 is: 180,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,768.50 : 607,046.88 = 120,382.42 : x
  2. Step 2: Convert to fraction form
    404,768.50/607,046.88 = 120,382.42/x
  3. Step 3: Cross multiply
    404,768.50x = 607,046.88 × 120,382.42
  4. Step 4: Simplify right side
    404,768.50x = 73,077,772,467.85
  5. Step 5: Solve for x
    x = 73,077,772,467.85/404,768.50
  6. Step 6: Final answer
    x = 180,542.14

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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.