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Finding the Fourth Proportional to 541,932, 813,093.48 and 288,946.32

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Solution

The fourth proportional to 541,932, 813,093.48 and 288,946.32 is: 433,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,932 : 813,093.48 = 288,946.32 : x
  2. Step 2: Convert to fraction form
    541,932/813,093.48 = 288,946.32/x
  3. Step 3: Cross multiply
    541,932x = 813,093.48 × 288,946.32
  4. Step 4: Simplify right side
    541,932x = 234,940,368,861.99
  5. Step 5: Solve for x
    x = 234,940,368,861.99/541,932
  6. Step 6: Final answer
    x = 433,523.71

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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.