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Finding the Fourth Proportional to 331,115.82, 496,678.47 and 94,458.51

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Solution

The fourth proportional to 331,115.82, 496,678.47 and 94,458.51 is: 141,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,115.82 : 496,678.47 = 94,458.51 : x
  2. Step 2: Convert to fraction form
    331,115.82/496,678.47 = 94,458.51/x
  3. Step 3: Cross multiply
    331,115.82x = 496,678.47 × 94,458.51
  4. Step 4: Simplify right side
    331,115.82x = 46,915,508,225.28
  5. Step 5: Solve for x
    x = 46,915,508,225.28/331,115.82
  6. Step 6: Final answer
    x = 141,689.12

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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.