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Finding the Fourth Proportional to 395,506.20, 593,453.70 and 185,107.80

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Solution

The fourth proportional to 395,506.20, 593,453.70 and 185,107.80 is: 277,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,506.20 : 593,453.70 = 185,107.80 : x
  2. Step 2: Convert to fraction form
    395,506.20/593,453.70 = 185,107.80/x
  3. Step 3: Cross multiply
    395,506.20x = 593,453.70 × 185,107.80
  4. Step 4: Simplify right side
    395,506.20x = 109,852,908,808.86
  5. Step 5: Solve for x
    x = 109,852,908,808.86/395,506.20
  6. Step 6: Final answer
    x = 277,752.68

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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.