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Finding the Fourth Proportional to 476,107.88, 713,663.26 and 160,455.72

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Solution

The fourth proportional to 476,107.88, 713,663.26 and 160,455.72 is: 240,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,107.88 : 713,663.26 = 160,455.72 : x
  2. Step 2: Convert to fraction form
    476,107.88/713,663.26 = 160,455.72/x
  3. Step 3: Cross multiply
    476,107.88x = 713,663.26 × 160,455.72
  4. Step 4: Simplify right side
    476,107.88x = 114,511,352,220.85
  5. Step 5: Solve for x
    x = 114,511,352,220.85/476,107.88
  6. Step 6: Final answer
    x = 240,515.56

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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.