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Finding the Fourth Proportional to 497,355.66, 746,033.52 and 142,370.94

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Solution

The fourth proportional to 497,355.66, 746,033.52 and 142,370.94 is: 213,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,355.66 : 746,033.52 = 142,370.94 : x
  2. Step 2: Convert to fraction form
    497,355.66/746,033.52 = 142,370.94/x
  3. Step 3: Cross multiply
    497,355.66x = 746,033.52 × 142,370.94
  4. Step 4: Simplify right side
    497,355.66x = 106,213,493,513.91
  5. Step 5: Solve for x
    x = 106,213,493,513.91/497,355.66
  6. Step 6: Final answer
    x = 213,556.42

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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.