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Finding the Fourth Proportional to 285,306.70, 427,651.13 and 185,538.50

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Solution

The fourth proportional to 285,306.70, 427,651.13 and 185,538.50 is: 278,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,306.70 : 427,651.13 = 185,538.50 : x
  2. Step 2: Convert to fraction form
    285,306.70/427,651.13 = 185,538.50/x
  3. Step 3: Cross multiply
    285,306.70x = 427,651.13 × 185,538.50
  4. Step 4: Simplify right side
    285,306.70x = 79,345,749,183.51
  5. Step 5: Solve for x
    x = 79,345,749,183.51/285,306.70
  6. Step 6: Final answer
    x = 278,106.86

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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.