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Finding the Fourth Proportional to 335,836.82, 503,790.54 and 193,678.86

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Solution

The fourth proportional to 335,836.82, 503,790.54 and 193,678.86 is: 290,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,836.82 : 503,790.54 = 193,678.86 : x
  2. Step 2: Convert to fraction form
    335,836.82/503,790.54 = 193,678.86/x
  3. Step 3: Cross multiply
    335,836.82x = 503,790.54 × 193,678.86
  4. Step 4: Simplify right side
    335,836.82x = 97,573,578,628.90
  5. Step 5: Solve for x
    x = 97,573,578,628.90/335,836.82
  6. Step 6: Final answer
    x = 290,538.66

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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.