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Finding the Fourth Proportional to 471,481.04, 707,198.52 and 175,970

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Solution

The fourth proportional to 471,481.04, 707,198.52 and 175,970 is: 263,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,481.04 : 707,198.52 = 175,970 : x
  2. Step 2: Convert to fraction form
    471,481.04/707,198.52 = 175,970/x
  3. Step 3: Cross multiply
    471,481.04x = 707,198.52 × 175,970
  4. Step 4: Simplify right side
    471,481.04x = 124,445,723,564.40
  5. Step 5: Solve for x
    x = 124,445,723,564.40/471,481.04
  6. Step 6: Final answer
    x = 263,946.40

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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.