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Finding the Fourth Proportional to 510,934.62, 705,089.97 and 296,199.17

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Solution

The fourth proportional to 510,934.62, 705,089.97 and 296,199.17 is: 408,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,934.62 : 705,089.97 = 296,199.17 : x
  2. Step 2: Convert to fraction form
    510,934.62/705,089.97 = 296,199.17/x
  3. Step 3: Cross multiply
    510,934.62x = 705,089.97 × 296,199.17
  4. Step 4: Simplify right side
    510,934.62x = 208,847,060,363.88
  5. Step 5: Solve for x
    x = 208,847,060,363.88/510,934.62
  6. Step 6: Final answer
    x = 408,754.96

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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.