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Finding the Fourth Proportional to 493,904.50, 739,910.10 and 293,618.50

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Solution

The fourth proportional to 493,904.50, 739,910.10 and 293,618.50 is: 439,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,904.50 : 739,910.10 = 293,618.50 : x
  2. Step 2: Convert to fraction form
    493,904.50/739,910.10 = 293,618.50/x
  3. Step 3: Cross multiply
    493,904.50x = 739,910.10 × 293,618.50
  4. Step 4: Simplify right side
    493,904.50x = 217,251,293,696.85
  5. Step 5: Solve for x
    x = 217,251,293,696.85/493,904.50
  6. Step 6: Final answer
    x = 439,864.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.