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Finding the Fourth Proportional to 510,766.75, 704,751.18 and 295,894

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Solution

The fourth proportional to 510,766.75, 704,751.18 and 295,894 is: 408,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,766.75 : 704,751.18 = 295,894 : x
  2. Step 2: Convert to fraction form
    510,766.75/704,751.18 = 295,894/x
  3. Step 3: Cross multiply
    510,766.75x = 704,751.18 × 295,894
  4. Step 4: Simplify right side
    510,766.75x = 208,531,645,654.92
  5. Step 5: Solve for x
    x = 208,531,645,654.92/510,766.75
  6. Step 6: Final answer
    x = 408,271.77

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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.