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Finding the Fourth Proportional to 489,097.60, 733,865.10 and 173,780.80

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Solution

The fourth proportional to 489,097.60, 733,865.10 and 173,780.80 is: 260,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,097.60 : 733,865.10 = 173,780.80 : x
  2. Step 2: Convert to fraction form
    489,097.60/733,865.10 = 173,780.80/x
  3. Step 3: Cross multiply
    489,097.60x = 733,865.10 × 173,780.80
  4. Step 4: Simplify right side
    489,097.60x = 127,531,664,170.08
  5. Step 5: Solve for x
    x = 127,531,664,170.08/489,097.60
  6. Step 6: Final answer
    x = 260,748.91

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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.