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Finding the Fourth Proportional to 285,011.46, 427,359.42 and 116,650.08

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Solution

The fourth proportional to 285,011.46, 427,359.42 and 116,650.08 is: 174,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,011.46 : 427,359.42 = 116,650.08 : x
  2. Step 2: Convert to fraction form
    285,011.46/427,359.42 = 116,650.08/x
  3. Step 3: Cross multiply
    285,011.46x = 427,359.42 × 116,650.08
  4. Step 4: Simplify right side
    285,011.46x = 49,851,510,531.75
  5. Step 5: Solve for x
    x = 49,851,510,531.75/285,011.46
  6. Step 6: Final answer
    x = 174,910.55

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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.