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Finding the Fourth Proportional to 504,788.68, 757,166.46 and 205,180.84

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Solution

The fourth proportional to 504,788.68, 757,166.46 and 205,180.84 is: 307,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,788.68 : 757,166.46 = 205,180.84 : x
  2. Step 2: Convert to fraction form
    504,788.68/757,166.46 = 205,180.84/x
  3. Step 3: Cross multiply
    504,788.68x = 757,166.46 × 205,180.84
  4. Step 4: Simplify right side
    504,788.68x = 155,356,050,282.63
  5. Step 5: Solve for x
    x = 155,356,050,282.63/504,788.68
  6. Step 6: Final answer
    x = 307,764.53

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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.