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Finding the Fourth Proportional to 541,834.60, 812,790.86 and 186,843.50

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Solution

The fourth proportional to 541,834.60, 812,790.86 and 186,843.50 is: 280,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,834.60 : 812,790.86 = 186,843.50 : x
  2. Step 2: Convert to fraction form
    541,834.60/812,790.86 = 186,843.50/x
  3. Step 3: Cross multiply
    541,834.60x = 812,790.86 × 186,843.50
  4. Step 4: Simplify right side
    541,834.60x = 151,864,689,050.41
  5. Step 5: Solve for x
    x = 151,864,689,050.41/541,834.60
  6. Step 6: Final answer
    x = 280,278.68

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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.