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Finding the Fourth Proportional to 510,934.38, 705,089.64 and 296,198.94

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Solution

The fourth proportional to 510,934.38, 705,089.64 and 296,198.94 is: 408,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,934.38 : 705,089.64 = 296,198.94 : x
  2. Step 2: Convert to fraction form
    510,934.38/705,089.64 = 296,198.94/x
  3. Step 3: Cross multiply
    510,934.38x = 705,089.64 × 296,198.94
  4. Step 4: Simplify right side
    510,934.38x = 208,846,803,972.98
  5. Step 5: Solve for x
    x = 208,846,803,972.98/510,934.38
  6. Step 6: Final answer
    x = 408,754.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.