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Finding the Fourth Proportional to 510,841.40, 766,343.10 and 173,913.80

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Solution

The fourth proportional to 510,841.40, 766,343.10 and 173,913.80 is: 260,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,841.40 : 766,343.10 = 173,913.80 : x
  2. Step 2: Convert to fraction form
    510,841.40/766,343.10 = 173,913.80/x
  3. Step 3: Cross multiply
    510,841.40x = 766,343.10 × 173,913.80
  4. Step 4: Simplify right side
    510,841.40x = 133,277,640,624.78
  5. Step 5: Solve for x
    x = 133,277,640,624.78/510,841.40
  6. Step 6: Final answer
    x = 260,898.28

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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.