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Finding the Fourth Proportional to 823,934.74, 1,234,904.10 and 349,623.67

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Solution

The fourth proportional to 823,934.74, 1,234,904.10 and 349,623.67 is: 524,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,934.74 : 1,234,904.10 = 349,623.67 : x
  2. Step 2: Convert to fraction form
    823,934.74/1,234,904.10 = 349,623.67/x
  3. Step 3: Cross multiply
    823,934.74x = 1,234,904.10 × 349,623.67
  4. Step 4: Simplify right side
    823,934.74x = 431,751,703,540.05
  5. Step 5: Solve for x
    x = 431,751,703,540.05/823,934.74
  6. Step 6: Final answer
    x = 524,012.02

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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.