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Finding the Fourth Proportional to 705,838.40, 1,059,174.24 and 279,416

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Solution

The fourth proportional to 705,838.40, 1,059,174.24 and 279,416 is: 419,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,838.40 : 1,059,174.24 = 279,416 : x
  2. Step 2: Convert to fraction form
    705,838.40/1,059,174.24 = 279,416/x
  3. Step 3: Cross multiply
    705,838.40x = 1,059,174.24 × 279,416
  4. Step 4: Simplify right side
    705,838.40x = 295,950,229,443.84
  5. Step 5: Solve for x
    x = 295,950,229,443.84/705,838.40
  6. Step 6: Final answer
    x = 419,288.93

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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.