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Finding the Fourth Proportional to 285,846.62, 394,465.64 and 156,782.45

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Solution

The fourth proportional to 285,846.62, 394,465.64 and 156,782.45 is: 216,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,846.62 : 394,465.64 = 156,782.45 : x
  2. Step 2: Convert to fraction form
    285,846.62/394,465.64 = 156,782.45/x
  3. Step 3: Cross multiply
    285,846.62x = 394,465.64 × 156,782.45
  4. Step 4: Simplify right side
    285,846.62x = 61,845,287,899.65
  5. Step 5: Solve for x
    x = 61,845,287,899.65/285,846.62
  6. Step 6: Final answer
    x = 216,358.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.