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Finding the Fourth Proportional to 475,786.26, 713,680.61 and 160,464.60

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Solution

The fourth proportional to 475,786.26, 713,680.61 and 160,464.60 is: 240,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,786.26 : 713,680.61 = 160,464.60 : x
  2. Step 2: Convert to fraction form
    475,786.26/713,680.61 = 160,464.60/x
  3. Step 3: Cross multiply
    475,786.26x = 713,680.61 × 160,464.60
  4. Step 4: Simplify right side
    475,786.26x = 114,520,472,809.08
  5. Step 5: Solve for x
    x = 114,520,472,809.08/475,786.26
  6. Step 6: Final answer
    x = 240,697.31

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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.