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Finding the Fourth Proportional to 405,217.62, 607,343.31 and 188,786.03

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Solution

The fourth proportional to 405,217.62, 607,343.31 and 188,786.03 is: 282,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,217.62 : 607,343.31 = 188,786.03 : x
  2. Step 2: Convert to fraction form
    405,217.62/607,343.31 = 188,786.03/x
  3. Step 3: Cross multiply
    405,217.62x = 607,343.31 × 188,786.03
  4. Step 4: Simplify right side
    405,217.62x = 114,657,929,305.24
  5. Step 5: Solve for x
    x = 114,657,929,305.24/405,217.62
  6. Step 6: Final answer
    x = 282,953.96

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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.