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Finding the Fourth Proportional to 331,148.48, 496,806.56 and 94,492

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Solution

The fourth proportional to 331,148.48, 496,806.56 and 94,492 is: 141,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,148.48 : 496,806.56 = 94,492 : x
  2. Step 2: Convert to fraction form
    331,148.48/496,806.56 = 94,492/x
  3. Step 3: Cross multiply
    331,148.48x = 496,806.56 × 94,492
  4. Step 4: Simplify right side
    331,148.48x = 46,944,245,467.52
  5. Step 5: Solve for x
    x = 46,944,245,467.52/331,148.48
  6. Step 6: Final answer
    x = 141,761.92

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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.