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Finding the Fourth Proportional to 493,775.14, 681,423.69 and 278,924.26

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Solution

The fourth proportional to 493,775.14, 681,423.69 and 278,924.26 is: 384,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,775.14 : 681,423.69 = 278,924.26 : x
  2. Step 2: Convert to fraction form
    493,775.14/681,423.69 = 278,924.26/x
  3. Step 3: Cross multiply
    493,775.14x = 681,423.69 × 278,924.26
  4. Step 4: Simplify right side
    493,775.14x = 190,065,598,479.72
  5. Step 5: Solve for x
    x = 190,065,598,479.72/493,775.14
  6. Step 6: Final answer
    x = 384,923.39

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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.